Prof Shahn Majid

Shahn Majid

Professor of Mathematics

School of Mathematical Sciences
Queen Mary University of London
webspace.maths.qmul.ac.uk/s.majid/welcome.html
Centre for Geometry, Analysis and Gravitation
ORCID

Research

quantum gravity, algebra, category theory, mathematical physics, quantum computing

Interests

I am interested in all aspects of geometry and algebra relating to mathematical physics, including quantum groups and quantum spacetime as tools to understand quantum gravity and potential tools for quantum computing.

Publications

solid heart iconPublications of specific relevance to the Centre for Geometry, Analysis and Gravitation

2025

bullet iconHopf algebras and q -deformation quantum groups: an overview
Majid S
In Encyclopedia of Mathematical Physics, Elsevier 590-603.  
01-01-2025

2024

bullet iconQuantum geodesic flows on graphs
Beggs E and Majid S
Letters in Mathematical Physics, Springer Nature vol. 114 (5) 
16-09-2024
bullet iconYang-Mills field from fuzzy sphere quantum Kaluza-Klein model
Liu C and Majid S
Journal of High Energy Physics, Springer Nature vol. 2024 (7) 
22-07-2024
bullet iconGeometric Dirac operator on noncommutative torus and M2(C)
Lira-Torres E and Majid S
Letters in Mathematical Physics, Springer Nature vol. 114 (3) 
28-05-2024
bullet iconDirac operator associated to a quantum metric
Majid S
Journal of Noncommutative Geometry, European Mathematical Society - Ems - Publishing House 
23-04-2024
Relevant PublicationQuantum geodesics in quantum mechanics
Beggs E and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 65 (1) 
01-01-2024

2023

bullet iconQuantum geodesic flow on the integer lattice line
Beggs E and Majid S
Journal of Physics Conference Series, Iop Publishing vol. 2667 (1) 
01-12-2023
Relevant PublicationQuantum jet bundles
Majid S and Simão F
Letters in Mathematical Physics, Springer Nature vol. 113 (6), 120-120.  
28-11-2023
bullet iconHopf-Galois extensions and twisted Hopf algebroids
Han X and Majid S
Journal of Algebra, Elsevier 
28-11-2023
Relevant PublicationAlgebraic aspects of boundaries in the Kitaev quantum double model
Cowtan A and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 64 (10) 
01-10-2023
Relevant PublicationQuantum Kaluza-Klein theory with M 2(ℂ)
Liu C and Majid S
Journal of High Energy Physics, Springer vol. 2023 (9) 
18-09-2023
bullet iconAlgebras and Hopf Algebras in Braided Categories
Majid S
 
10-08-2023
Relevant PublicationQuantum geodesic flows and curvature
Beggs E and Majid S
Letters in Mathematical Physics vol. 113 (3) 
01-06-2023
Relevant PublicationQuantum Riemannian geometry of the discrete interval and q-deformation
Argota-Quiroz JN and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 64 (5) 
01-05-2023
bullet iconQuantum geometry of Boolean algebras and de Morgan duality
Majid S
Journal of Noncommutative Geometry, Ems Press 
10-02-2023

2022

Relevant PublicationQuantum gravity on finite spacetimes and dynamical mass
Argota-Quiroz JN and Majid S
Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". vol. 406 
23-11-2022
Relevant PublicationQuantum geodesics on quantum Minkowski spacetime
Liu C and Majid S
Journal of Physics a: Mathematical and General, Iop Publishing vol. 55 (42) 
28-10-2022
Relevant PublicationQuantum and braided ZX calculus
Majid S
Journal of Physics a: Mathematical and Theoretical 
01-06-2022
bullet iconQuantum Riemannian geometry of the discrete interval and q-deformation
Argota-Quiroz JN and Majid S
Journal of Mathematical Physics, American Institute of Physics 
26-04-2022
Relevant PublicationQuantum double aspects of surface code models
Cowtan A and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 63 (4) 
01-04-2022
bullet iconGeometric Dirac operator on the fuzzy sphere
Majid S and Lira Torres E
Letters in Mathematical Physics, Springer (Part of Springer Nature) 
21-01-2022

2021

Relevant PublicationFuzzy and discrete black hole models* *The first author was partially supported by CONACyT (México).
Argota-Quiroz JN and Majid S
Classical and Quantum Gravity, Iop Publishing vol. 38 (14) 
21-06-2021
Relevant PublicationQuantum gravity and Riemannian geometry on the fuzzy sphere
Majid S and Lira Torres E
Letters in Mathematical Physics, Springer (Part of Springer Nature) 
05-03-2021
Relevant PublicationPoisson principal bundles
Majid S and Williams L
Symmetry, Integrability and Geometry: Methods and Applications (Sigma), National Academy of Science of Ukraine 
21-01-2021

2020

Relevant PublicationQuantum gravity on polygons and R x Z_n FLRW mode
Majid S and Argota Quiroz J
Classical and Quantum Gravity, Iop Publishing 
13-11-2020
Relevant PublicationDigital quantum groups
Majid S and Pachol A
Journal of Mathematical Physics, Aip Publishing 
22-10-2020
bullet iconQuantum differentials on cross product Hopf algebras
Majid S and AZIZ R
Journal of Algebra, Elsevier 
15-07-2020
Relevant PublicationDigital finite quantum Riemannian geometries
Majid S and Pacho A
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 53 (11) 
27-02-2020
bullet iconReconstruction and quantization of Riemannian structures
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 61 (2) 
01-02-2020
Relevant PublicationQuantum Riemannian Geometry
Beggs EJ and Majid S
 
01-01-2020
bullet iconQuantum geometry, logic and probability
Majid S
Zagadnienia Filozoficzne W Nauce (69), 191-236.  
01-01-2020

2019

Relevant PublicationQuantum gravity on a square graph
Majid S
Classical and Quantum Gravity, Iop Publishing vol. 36 (24) 
14-11-2019
bullet iconGeneralised noncommutative geometry on finite groups and Hopf quivers
Majid S and Tao W-Q
Journal of Noncommutative Geometry, European Mathematical Society - Ems - Publishing House vol. 13 (3), 1055-1116.  
04-11-2019
Relevant PublicationQuantum Riemannian geometry and particle creation on the integer line
Majid S
Classical and Quantum Gravity, Iop Publishing vol. 36 (13) 
18-06-2019
bullet iconNew approach to octonions and Cayley algebras
Albuquerque H and Majid S
 
20-05-2019
bullet iconFinite Noncommutative Geometries Related to Fp[x]
Bassett ME and Majid S
Algebras and Representation Theory, Springer Nature vol. 23 (2), 251-274.  
31-01-2019
bullet iconCo-double bosonisation and dual bases of c q [SL 2] and c q [SL 3]
Aziz R and Majid S
Journal of Algebra, Elsevier vol. 518, 75-118.  
01-01-2019

2018

bullet iconSmooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups
Akylzhanov R, Majid S and Ruzhansky M
Communications in Mathematical Physics, Springer Nature vol. 362 (3), 761-799.  
13-08-2018
bullet iconOn the Emergence of the Structure of Physics
MAJID SH
Philosophical Transactions a: Mathematical, Physical and Engineering Sciences, Royal Society, The 
19-03-2018
bullet iconClassification of digital affine noncommutative geometries
MAJID SH and PACHOL A
Journal of Mathematical Physics, Aip Publishing 
01-03-2018
bullet iconQuantum Koszul formula on quantum spacetime
MAJID SH and WILLIAMS L
Journal of Geometry and Physics, Elsevier 
19-02-2018
bullet iconQuasitriangular structure and twisting of the 3D bicrossproduct model
MAJID SH and Osei P
Journal of High Energy Physics, Springer Verlag (Germany) 
30-01-2018

2017

bullet iconQuantum Bianchi identities via DG categories
MAJID SH and Beggs EJ
Journal of Geometry and Physics 
21-11-2017
bullet iconSpectral triples from bimodule connections and Chern connections
MAJID SH and Beggs EJ
Journal of Noncommutative Geometry, European Mathematical Society 
29-06-2017
bullet iconNoncommutative spherically symmetric spacetimes at semiclassical order
Fritz C and Majid S
Classical and Quantum Gravity 
14-06-2017
bullet iconQuantum Riemannian geometry of phase space and nonassociativity
MAJID SH
Demonstratio Mathematica 
16-05-2017
bullet iconHodge Star as Braided Fourier Transform
MAJID SH
Algebras and Representation Theory, Springer Verlag (Germany) 
08-02-2017
bullet iconLie theory of finite simple groups and Roth property
MAJID SH, Lopez Pena J and Rietsch K
Cambridge Philosophical Society: Mathematical Proceedings, Cambridge University Press (Cup): Stm Journals - No Cambridge Open 
09-01-2017

2016

bullet iconPoisson-Riemannian geometry
MAJID SH and Beggs EJ
Journal of Geometry and Physics, Elsevier 
27-12-2016
bullet iconNon-commutative Differential Geometry
Majid S
In Analysis and Mathematical Physics, World Scientific Publishing 139-176.  
21-12-2016
bullet iconNoncommutative differentials on Poisson–Lie groups and pre-Lie algebras
Majid S and Tao W-Q
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 284 (1), 213-256.  
10-07-2016

2015

bullet iconDuality for generalised differentials on quantum groups
Majid S and Tao W-Q
Journal of Algebra, Elsevier vol. 439, 67-109.  
01-10-2015
bullet iconCosmological constant from quantum spacetime
Majid S and Tao W-Q
Physical Review D, American Physical Society (Aps) vol. 91 (12) 
09-06-2015

2014

bullet iconThe self-representing Universe
MAJID SH
In Mathematical Structures of The Universe, Copernicus Center Press Editors: Szybka S, Heller M and Eckstein M. 
09-11-2014
Relevant PublicationGravity induced from quantum spacetime
Beggs EJ and Majid S
Classical and Quantum Gravity vol. 31 (3) 
01-01-2014
bullet iconNewtonian gravity on quantum spacetime
Majid S
1ST INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS. vol. 70 
01-01-2014
bullet iconEmergence of Riemannian geometry and the massive graviton
Majid S
2ND INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS. vol. 71 
01-01-2014

2013

bullet iconNoncommutative Riemannian geometry on graphs
Majid S
Journal of Geometry and Physics vol. 69, 74-93.  
01-01-2013
bullet iconLie theory and coverings of finite groups
Majid S and Rietsch K
Journal of Algebra vol. 389, 137-150.  
01-01-2013

2012

bullet iconQuantum spacetime and physical reality
Polkinghorne J, Penrose R, Taylor A, Connes A, Heller M and Majid S
In On Space and Time, Cambridge University Press (Cup) 56-140.  
26-03-2012
bullet iconAlmost Commutative Riemannian Geometry: Wave Operators
Majid S
Communications in Mathematical Physics vol. 310 (3), 569-609.  
01-01-2012
bullet iconEmergence of Wave Equations from Quantum Geometry
Majid S
SIXTH INTERNATIONAL SCHOOL ON FIELD THEORY AND GRAVITATION-2012. vol. 1483, 169-188.  
01-01-2012
bullet iconOn space and time
Connes A, Heller M, Majid S, Penrose R, Polkinghorne J and Taylor A
 
01-01-2012
bullet iconPreface
Majid S
On Space and Time, xi-xx.  
01-01-2012

2011

bullet iconQuantum Spaces Associated to Multipermutation Solutions of Level Two
Gateva-Ivanova T and Majid S
Algebr Represent Th vol. 14 (2), 341-376.  
01-04-2011
bullet iconScaling Limit of the Noncommutative Black Hole
Majid S
GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS. vol. 284 
01-01-2011
bullet iconq-Fuzzy Spheres and Quantum Differentials on Bq[SU2] and Uq(su2)
Majid S
Letters in Mathematical Physics vol. 98 (2), 167-191.  
01-01-2011
bullet iconOn braided zeta functions
TOMASIC I and Majid S
Bull. Math. Sci. vol. 1 (2), 379-396.  
01-01-2011
bullet icon*-compatible connections in noncommutative Riemannian geometry
Beggs EJ and Majid S
J Geom Phys vol. 61 (1), 95-124.  
01-01-2011

2010

bullet iconNonassociative Riemannian geometry by twisting
Beggs E and Majid S
Journal of Physics Conference Series. vol. 254 (1) 
01-11-2010
bullet iconQuantum groups
Majid S
In The Princeton Companion to Mathematics 272-275.  
18-07-2010
bullet iconHopf quasigroups and the algebraic 7-sphere
Klim J and Majid S
J Algebra vol. 323 (11), 3067-3110.  
01-06-2010
bullet iconQuantization by cochain twists and nonassociative differentials
Beggs EJ and Majid S
J Math Phys vol. 51 (5) 
01-05-2010
bullet iconPreface
Majid S
On Space and Time, xi-xx.  
01-01-2010
bullet iconOn space and time
Majid S, Connes A, Heller M, Penrose R, Polkinghorne J and Taylor A
 
01-01-2010
bullet iconBicrossproduct Hopf quasigroups
Klim J and Majid S
Commentationes Mathematicae Universitatis Carolinae vol. 51 (2), 287-304.  
01-01-2010

2009

bullet iconq-deformation and semidualization in 3D quantum gravity
Majid S and Schroers BJ
J Phys a-Math Theor vol. 42 (42) 
23-10-2009
bullet iconBar Categories and Star Operations
Beggs EJ and Majid S
ALGEBRAS AND REPRESENTATION THEORY. vol. 12 (2-5), 103-152.  
01-10-2009
bullet iconAlgebraic approach to Quantum Gravity II: noncommutative spacetime
Majid S
In Approaches to Quantum Gravity, Cambridge University Press (Cup) 466-492.  
05-03-2009

2008

bullet iconQuantisation of Twistor Theory by Cocycle Twist
Brain SJ and Majid S
Commun Math Phys vol. 284 (3), 713-774.  
01-12-2008
bullet iconQuantum spacetime and physical reality
Connes A, Heller M, Penrose R, Polkinghorne J, Taylor A and Majid S
In On Space and Time, Cambridge University Press (Cup) 56-140.  
25-09-2008
bullet iconNoncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity
Freidel L and Majid S
Classical Quant Grav vol. 25 (4) 
21-02-2008
bullet iconMatched pairs approach to set theoretic solutions of the Yang-Baxter equation
Gateva-Ivanova T and Majid S
J Algebra vol. 319 (4), 1462-1529.  
15-02-2008

2007

bullet iconSet-theoretic solutions of the Yang-Baxter equation, graphs and computations
Gateva-Ivanova T and Majid S
JOURNAL OF SYMBOLIC COMPUTATION. vol. 42 (11-12), 1079-1112.  
01-11-2007
bullet iconBicrossproduct approach to the Connes-Moscovici Hopf algebra
Hadfield T and Majid S
J Algebra vol. 312 (1), 228-256.  
01-06-2007
bullet iconAlgebraic approach to quantum gravity III: Non-commmutative riemannian geometry
Majid S
Quantum Gravity: Mathematical Models and Experimental Bounds., 77-100. Editors: Fauser B, Tolksdorf J and Zeidler E. 
01-01-2007

2006

bullet iconSemiclassical differential structures
Beggs EJ and Majid S
Pac J Math vol. 224 (1), 1-44.  
01-03-2006
bullet iconWhat is a quantum group
MAJID SH
 
01-01-2006
bullet iconBicrossproduct Hopf Algebras and Noncommutative Spacetime
Majid S
In Encyclopedia of Mathematical Physics: Five-Volume Set 
01-01-2006
bullet iconHopf Algebras and q-Deformation Quantum Groups
Majid S
In Encyclopedia of Mathematical Physics: Five-Volume Set 
01-01-2006

2005

bullet iconNoncommutative model with spontaneous time generation and Planckian bound
Majid S
J Math Phys vol. 46 (10) 
01-10-2005
bullet iconGauge theory on nonassociative spaces
Majid S
J Math Phys vol. 46 (10) 
01-10-2005
bullet iconNoncommutative Riemannian and spin geometry of the standard q-sphere
Majid S
Commun Math Phys vol. 256 (2), 255-285.  
01-06-2005
bullet iconNoncommutative differentials and Yang-Mills on permutation groups S-n
Majid S
189-213. Editors: Caenepeel S and VanOystaeyen F. 
01-01-2005
bullet iconClassification of differentials on quantum doubles and finite noncommutative geometry
MAJID SH
In Hopf Algebras in Noncommutative Geometry and Physics, Marcel Dekker 167-188.  
01-01-2005

2004

bullet iconModuli of quantum Riemannian geometries on <= 4 points
Majid S and Raineri E
J Math Phys vol. 45 (12), 4596-4627.  
01-12-2004
bullet iconCartan calculus for quantum differentials on bicrossproducts
Ngakeu F, Majid S and Ezin JP
Acta Appl Math vol. 84 (2), 193-236.  
01-11-2004
bullet iconBraided cyclic cocycles and nonassociative geometry
Akrami SE and Majid S
J Math Phys vol. 45 (10), 3883-3911.  
01-10-2004
bullet iconOn the Fock space for nonrelativistic anyon fields and braided tensor products
Goldin GA and Majid S
J Math Phys vol. 45 (10), 3770-3787.  
01-10-2004
bullet iconSpecial issue: Quantum groups and noncommutative geometry - Introduction
Majid S
J Math Phys vol. 45 (10), 3701-3702.  
01-10-2004
bullet iconNoncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebras
Majid S
CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING. vol. 34, 491-518. Editors: Ablamowicz R. 
01-01-2004
bullet iconBraided cyclic cocycles and nonassociative geometry
MAJID SH and Akrami SE
J. Math. Phys. vol. 45, 3883-3911.  
01-01-2004

2003

bullet iconBraided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebras
Gomez X and Majid S
J Algebra vol. 261 (2), 334-388.  
15-03-2003
bullet iconNoncommutative geometry of angular momentum space U(su(2))
Batista E and Majid S
J Math Phys vol. 44 (1), 107-137.  
01-01-2003
bullet iconNoncommutative geometry on the algebra U(su2) and quantization of coadjoint orbits
Batista E and Majid S
GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES. vol. 173, 435-438. Editors: Gazeau JP, Kerner R, Antoine JP, Metens S and Thibon JY. 
01-01-2003
bullet iconBraided line and counting fixed points of GL(d, F-q)
Cameron PJ and Majid S
Commun Algebra vol. 31 (4), 2003-2013.  
01-01-2003
bullet iconRelating quantum and braided Lie algebras
MAJID SH and GOMEZ X
In Banach Center Publications Volume No: 44, Banach Center 91-102.  
01-01-2003
bullet iconNoncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unity
Majid S
Lett Math Phys vol. 63 (1), 39-54.  
01-01-2003

2002

bullet iconElectromagnetism and gauge theory on the permutation group S-3
Majid S and Raineri E
J Geom Phys vol. 44 (2-3), 129-155.  
01-12-2002
bullet iconZ(2) x Z(2) lattice as a Connes-Lott-quantum group model
Majid S and Schucker T
J Geom Phys vol. 43 (1), 1-26.  
01-08-2002
bullet iconKnots and Feynman diagrams, by D. Kreimer. Pp. 272. £21.95. 2000. ISBN 0521 58761 1 (Cambridge University Press).
Majid S
The Mathematical Gazette, Cambridge University Press (Cup) vol. 86 (506), 381-383.  
01-07-2002
bullet iconClifford algebras obtained by twisting of group algebras
Albuquerque H and Majid S
J Pure Appl Algebra vol. 171 (2-3), 133-148.  
25-06-2002
bullet iconNoncommutative Riemannian geometry of the alternating group A(4)
Ngakeu F, Majid S and Lambert D
J Geom Phys vol. 42 (3), 259-282.  
01-06-2002
bullet iconNoncommutative cohomology and electromagnetism on C-q[SL2] at roots of unity
Gomez X and Majid S
Lett Math Phys vol. 60 (3), 221-237.  
01-06-2002
bullet iconRiemannian geometry of quantum groups and finite groups with nonuniversal differentials
Majid S
Commun Math Phys vol. 225 (1), 131-170.  
01-01-2002
bullet iconA Quantum Groups Primer
MAJID SH
 
01-01-2002

2001

bullet iconPoisson-Lie T-duality for quasitriangular Lie bialgebras
Beggs EJ and Majid S
Commun Math Phys vol. 220 (3), 455-488.  
01-07-2001
bullet iconNoncommutative differential geometry and twisting of quantum groups
MAJID SH
In Quantum Groups and Lie Theory, Cambridge University Press 175-190.  
01-01-2001

2000

bullet iconWAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS
AMELINO-CAMELIA G and MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 15 (27), 4301-4323.  
30-10-2000
bullet iconQuantum Geometry of Algebra Factorisations¶and Coalgebra Bundles
Brzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 213 (3), 491-521.  
01-10-2000
bullet iconCONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS
MAJID S
International Journal of Modern Physics B. vol. 14 (22n23), 2427-2449.  
20-09-2000
bullet iconQuantum groups and noncommutative geometry
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 41 (6), 3892-3942.  
01-06-2000
bullet iconNon-commutative geometry and quantum groups
Majid S
Philosophical Transactions of The Royal Society a Mathematical Physical and Engineering Sciences, The Royal Society vol. 358 (1765), 89-109.  
15-01-2000
bullet iconBraided-Lie bialgebras
Majid S
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 192 (2), 329-356.  
01-01-2000
bullet iconWaves on noncommutative space-time and gamma-ray bursts
Amelino-Camelia G and Majid S
International Journal of Modern Physics A vol. 15 (27), 4301-4323.  
01-01-2000
bullet iconMeaning of noncommutative geometry and the Planck-scale quantum group
Majid S
TOWARDS QUANTUM GRAVITY. vol. 541, 227-276.  
01-01-2000
bullet iconTwisting of Quantum Differentials
Majid S and Oeckl R
In Geometry and Quantum Physics, Springer Nature 392-392.  
01-01-2000

1999

bullet iconQuasialgebra Structure of the Octonions
Albuquerque H and Majid S
Journal of Algebra, Elsevier vol. 220 (1), 188-224.  
01-10-1999
bullet iconProjective Module Description of the q-Monopole
Hajac PM and Majid S
Communications in Mathematical Physics, Springer Nature vol. 206 (2), 247-264.  
01-10-1999
bullet iconTwisting of Quantum Differentials and¶the Planck Scale Hopf Algebra
Majid S and Oeckl R
Communications in Mathematical Physics, Springer Nature vol. 205 (3), 617-655.  
01-09-1999
bullet iconDIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY
MAJID S
Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 8 (06), 731-771.  
01-09-1999
bullet iconQuasitriangular and Differential Structures on Bicrossproduct Hopf Algebras
Beggs E and Majid S
Journal of Algebra, Elsevier vol. 219 (2), 682-727.  
01-09-1999
bullet iconQuantum and braided group Riemannian geometry
Majid S
Journal of Geometry and Physics, Elsevier vol. 30 (2), 113-146.  
01-05-1999
bullet iconQuantum geometry of field extensions
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 40 (5), 2311-2323.  
01-05-1999
bullet iconDouble-bosonization of braided groups and the construction of Uq(g)
MAJID S
Mathematical Proceedings of The Cambridge Philosophical Society, Cambridge University Press (Cup) vol. 125 (1), 151-192.  
01-01-1999

1998

bullet iconSome remarks on braided group reconstruction and braided doubles
Majid S
Czechoslovak Journal of Physics, Springer Nature vol. 48 (11), 1447-1456.  
01-11-1998
bullet iconQuantum and braided diffeomorphism groups
Majid S
Journal of Geometry and Physics, Elsevier vol. 28 (1-2), 94-128.  
01-11-1998
bullet iconQuantum Differentials and the q-Monopole Revisited
Brzeziński T and Majid S
Acta Applicandae Mathematicae, Springer Nature vol. 54 (2), 185-232.  
01-11-1998
bullet iconQuantum Double for Quasi-Hopf Algebras
Majid S
Letters in Mathematical Physics, Springer Nature vol. 45 (1), 1-9.  
01-07-1998
bullet iconClassification of bicovariant differential calculi
Majid S
Journal of Geometry and Physics, Elsevier vol. 25 (1-2), 119-140.  
01-04-1998
bullet iconCoalgebra Bundles
Brzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 191 (2), 467-492.  
01-02-1998
bullet iconLine bundles on quantum spheres
Brzeziński T and Majid S
AIP Conference Proceedings. vol. 453 (1), 3-8.  
01-01-1998

1997

bullet iconFermionic q-Fock space and braided geometry
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 38 (9), 4845-4853.  
01-09-1997
bullet iconQuasi-∗ structure on q-Poincaré algebras
Majid S
Journal of Geometry and Physics, Elsevier vol. 22 (1), 14-58.  
01-04-1997
bullet iconBicross-Product Structure of Affine Quantum Groups
MAJID S
Letters in Mathematical Physics, Springer Nature vol. 39 (3), 243-252.  
01-02-1997
bullet iconSome comments on bosonisation and biproducts
Majid S
Czechoslovak Journal of Physics, Springer Nature vol. 47 (2), 151-171.  
01-02-1997
bullet iconNew quantum groups by double-bosonisation
Majid S
Czechoslovak Journal of Physics, Springer Nature vol. 47 (1), 79-90.  
01-01-1997
bullet iconAnyonic lie algebras
Majid S
Czechoslovak Journal of Physics, Springer Nature vol. 47 (12), 1241-1250.  
01-01-1997
bullet iconBraided geometry and the inductive construction of Lie algebras and quantum groups
Majid S
DEFORMATION THEORY AND SYMPLECTIC GEOMETRY. vol. 20, 339-344.  
01-01-1997
bullet iconQuantum geometry and the Planck scale
Majid S
GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2., 275-284.  
01-01-1997

1996

bullet iconBraided geometry of the conformal algebra
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 37 (12), 6495-6509.  
01-12-1996
bullet iconFinite Group Factorizations and Braiding
Beggs EJ, Gould JD and Majid S
Journal of Algebra, Elsevier vol. 181 (1), 112-151.  
01-04-1996
bullet iconGlueing operation for R-matrices, quantum groups and link-invariants of Hecke type
Majid S and Markl M
Mathematical Proceedings of The Cambridge Philosophical Society, Cambridge University Press (Cup) vol. 119 (1), 139-166.  
01-01-1996
bullet iconIntroduction to braided geometry and q-Minkowski space
Majid S
QUANTUM GROUPS AND THEIR APPLICATIONS IN PHYSICS. vol. 127, 267-345.  
01-01-1996

1995

bullet iconNonstandard quantum groups and superization
Majid S and Rodríguez-Plaza MJ
Journal of Mathematical Physics, Aip Publishing vol. 36 (12), 7081-7097.  
01-12-1995
bullet iconSOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS
MAJID S
Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 4 (04), 673-697.  
01-12-1995
bullet icon*‐structures on braided spaces
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 36 (8), 4436-4449.  
01-08-1995
bullet iconq‐epsilon tensor for quantum and braided spaces
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 36 (4), 1991-2007.  
01-04-1995
bullet iconQuantum group Gauge theory on quantum spaces
Brzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 167 (1), 235-235.  
01-01-1995

1994

bullet iconAlgebraic q‐integration and Fourier theory on quantum and braided spaces
Kempf A and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 35 (12), 6802-6837.  
01-12-1994
bullet iconAnyonic FRT construction
Majid S and Rodríguez-Plaza MJ
Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1073-1080.  
01-11-1994
bullet iconSome remarks on the quantum double
Majid S
Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1059-1071.  
01-11-1994
bullet iconq‐Euclidean space and quantum Wick rotation by twisting
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 35 (9), 5025-5034.  
01-09-1994
bullet iconBicrossproduct structure of κ-Poincare group and non-commutative geometry
Majid S and Ruegg H
Physics Letters B, Elsevier vol. 334 (3-4), 348-354.  
01-08-1994
bullet iconRandom walk and the heat equation on superspace and anyspace
Majid S and Rodríguez-Plaza MJ
Journal of Mathematical Physics, Aip Publishing vol. 35 (7), 3753-3760.  
01-07-1994
bullet iconBraided matrix structure ofq-Minkowski space andq-Poincaré group
Majid S and Meyer U
Zeitschrift FüR Physik C Particles and Fields, Springer Nature vol. 63 (2), 357-362.  
01-06-1994
bullet iconBraided Groups and Quantum Fourier Transform
Lyubashenko V and Majid S
Journal of Algebra, Elsevier vol. 166 (3), 506-528.  
01-06-1994
bullet iconQuantum and braided-Lie algebras
Majid S
Journal of Geometry and Physics, Elsevier vol. 13 (4), 307-356.  
01-05-1994
bullet iconOn the addition of quantum matrices
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 35 (5), 2617-2632.  
01-05-1994
bullet iconThe quantum double as quantum mechanics
Majid S
Journal of Geometry and Physics, Elsevier vol. 13 (2), 169-202.  
01-02-1994
bullet iconBraided groups of Hopf algebras obtained by twisting
Gurevich D and Majid S
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 162 (1), 27-44.  
01-01-1994
bullet iconBicrossproduct Structure of the Quantum Weyl Group
Majid S
Journal of Algebra, Elsevier vol. 163 (1), 68-87.  
01-01-1994
bullet iconCross Products by Braided Groups and Bosonization
Majid S
Journal of Algebra, Elsevier vol. 163 (1), 165-190.  
01-01-1994
bullet iconLie algebras and braided geometry
Majid S
PROCEEDINGS OF THE XXIITH INTERNATIONAL CONFERENCE ON DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS. vol. 4, 61-77.  
01-01-1994

1993

bullet iconQuantum group gauge theory on quantum spaces
Brzeziński T and Majid S
Communications in Mathematical Physics, Springer Nature vol. 157 (3), 591-638.  
01-11-1993
bullet iconQUANTUM RANDOM WALKS AND TIME REVERSAL
MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 8 (25), 4521-4545.  
10-10-1993
bullet iconBraided matrix structure of the Sklyanin algebra and of the quantum Lorentz group
Majid S
Communications in Mathematical Physics, Springer Nature vol. 156 (3), 607-638.  
01-10-1993
bullet iconFree braided differential calculus, braided binomial theorem, and the braided exponential map
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (10), 4843-4856.  
01-10-1993
bullet iconBRAIDED GROUPS AND BRAID STATISTICS
Majid S
In Quantum Probability and Related Topics, World Scientific Publishing 281-295.  
01-09-1993
bullet iconThe braided Heisenberg group
Baskerville WK and Majid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (8), 3588-3606.  
01-08-1993
bullet iconQuantum and super-quantum group related to the Alexander-Conway polynomial
Majid S and Rodríguez-Plaza MJ
Journal of Geometry and Physics, Elsevier vol. 11 (1-4), 437-443.  
01-06-1993
bullet iconBraided groups
Majid S
Journal of Pure and Applied Algebra, Elsevier vol. 86 (2), 187-221.  
01-05-1993
bullet iconBraided momentum in the q‐Poincaré group
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (5), 2045-2058.  
01-05-1993
bullet iconQuantum and braided linear algebra
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 34 (3), 1176-1196.  
01-03-1993
bullet iconTransmutation theory and rank for quantum braided groups
Majid S
Mathematical Proceedings of The Cambridge Philosophical Society, Cambridge University Press (Cup) vol. 113 (1), 45-70.  
01-01-1993
bullet iconQuantum group gauge theory on classical spaces
Brzeziński T and Majid S
Physics Letters B, Elsevier vol. 298 (3-4), 339-343.  
01-01-1993
bullet iconR-MATRIX BRACKETS AND THEIR QUANTIZATION
DONIN J, GUREVICH D and MAJID S
Annales De L Institut Henri Poincare-Physique Theorique vol. 58 (2), 235-246.  
01-01-1993
bullet iconAnyonic Quantum Groups
Majid S
In Spinors, Twistors, Clifford Algebras and Quantum Deformations, Springer Nature 327-336.  
01-01-1993

1992

bullet iconC -statistical quantum groups and Weyl algebras
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 33 (10), 3431-3444.  
01-10-1992
bullet iconA class of bicovariant differential calculi on hopf algebras
Brzeziński T and Majid S
Letters in Mathematical Physics, Springer Nature vol. 26 (1), 67-78.  
01-09-1992
bullet iconSPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR
MACFARLANE AJ and MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 7 (18), 4377-4393.  
20-07-1992
bullet iconFourier transform identities in quantum mechanics and the quantum line
Lyubashenko VV and Majid S
Physics Letters B, Elsevier vol. 284 (1-2), 66-70.  
01-06-1992
bullet iconRANK OF QUANTUM GROUPS AND BRAIDED GROUPS IN DUAL FORM
MAJID S
Lecture Notes in Mathematics vol. 1510, 79-89.  
01-01-1992
bullet iconAN OPEN PROBLEM IN QUANTUM GROUPS
MAJID S
Lecture Notes in Mathematics vol. 1510, 390-391.  
01-01-1992
bullet iconTHE SUPERALGEBRA OSP(1/2) AND A RELATED QUANTUM GROUP-STRUCTURE FOR HARMONIC-OSCILLATOR SYSTEMS
MACFARLANE AJ and MAJID S
TOPOLOGICAL AND GEOMETRICAL METHODS IN FIELD THEORY., 227-236.  
01-01-1992

1991

bullet iconExamples of braided groups and braided matrices
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 32 (12), 3246-3253.  
01-12-1991
bullet iconRECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES
MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 6 (24), 4359-4374.  
10-10-1991
bullet iconQuantum group structure in a fermionic extension of the quantum harmonic oscillator
Macfarlane AJ and Majid S
Physics Letters B, Elsevier vol. 268 (1), 71-74.  
01-10-1991
bullet iconQUANTUM GROUPS AND QUANTUM PROBABILITY
Majid S
In Quantum Probability and Related Topics, World Scientific Publishing 333-358.  
01-10-1991
bullet iconPrinciple of Representation‐Theoretic Self‐Duality
Majid S
Physics Essays, Physics Essays Publication vol. 4 (3), 395-405.  
01-09-1991
bullet iconBraided groups and algebraic quantum field theories
Majid S
Letters in Mathematical Physics, Springer Nature vol. 22 (3), 167-175.  
01-07-1991
bullet iconGauge-covariant vacuum expectations and glueballs
Majid S
Il Nuovo Cimento a (1971-1996), Springer Nature vol. 104 (7), 949-960.  
01-07-1991
bullet iconQuasi-quantum groups as internal symmetries of topological quantum field theories
Majid S
Letters in Mathematical Physics, Springer Nature vol. 22 (2), 83-90.  
01-06-1991
bullet iconMass dependence ofU(1) axial-symmetry breakdown
Majid S
Il Nuovo Cimento a (1971-1996), Springer Nature vol. 104 (5), 617-640.  
01-05-1991
bullet iconCHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVE
MAJID S and SOIBELMAN YS
International Journal of Modern Physics A, World Scientific Publishing vol. 6 (10), 1815-1827.  
20-04-1991
bullet iconRank of quantized universal enveloping algebras and modular functions
Majid S and Soibelman YS
Communications in Mathematical Physics, Springer Nature vol. 137 (2), 249-262.  
01-04-1991
bullet iconHopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the Classical Yang-Baxter Equations
Majid S
Journal of Functional Analysis, Elsevier vol. 95 (2), 291-319.  
01-02-1991
bullet iconDoubles of quasitriangular hopf algebras
Majid S
Communications in Algebra, Taylor & Francis vol. 19 (11), 3061-3073.  
01-01-1991

1990

bullet iconON q-REGULARIZATION
MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 5 (24), 4689-4696.  
20-12-1990
bullet iconPhysics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
Majid S
Journal of Algebra, Elsevier vol. 130 (1), 17-64.  
01-04-1990
bullet iconFourier transforms on ????/???? and knot invariants
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 31 (4), 924-927.  
01-04-1990
bullet iconMore examples of bicrossproduct and double cross product Hopf algebras
Majid S
Israel Journal of Mathematics, Springer Nature vol. 72 (1-2), 133-148.  
01-02-1990
bullet iconQUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
MAJID S
International Journal of Modern Physics A, World Scientific Publishing vol. 5 (01), 1-91.  
10-01-1990
bullet iconMatched pairs of Lie groups associated to solutions of the Yang-Baxter equations
Majid S
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 141 (2), 311-332.  
01-01-1990
bullet iconRepresentation-theoretic rank and double hopf algebras
Majid S
Communications in Algebra, Taylor & Francis vol. 18 (11), 3705-3712.  
01-01-1990
bullet iconMATCHED PAIRS OF TOPOLOGICAL LIE-ALGEBRAS CORRESPONDING TO LIE BIALGEBRA STRUCTURES ON DIFF(S1) AND DIFF(R)
BEGGS E and MAJID S
Annales De L Institut Henri Poincare-Physique Theorique vol. 53 (1), 15-34.  
01-01-1990
bullet iconQUANTUM GROUP DUALITY IN VERTEX MODELS AND OTHER RESULTS IN THE THEORY OF QUASI-TRAINGULAR HOPF-ALGEBRAS
MAJID S
DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS. vol. 245, 373-385.  
01-01-1990

1989

bullet iconErratum: Liouville theorem for the Yang–Mills self-duality equations [J. Math. Phys. 2 9 , 2303 (1988)]
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 30 (7), 1652-1652.  
01-07-1989
bullet iconCanonical arbitrary-spin background-field wave operator and applications
Majid S
Il Nuovo Cimento a (1971-1996), Springer Nature vol. 101 (6), 857-882.  
01-06-1989
bullet iconPartial waves for the linearized Yang–Mills equation about a monopole background
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 30 (5), 1150-1157.  
01-05-1989
bullet iconMatched pairs of lie groups and Hopf algebra bicrossproducts
Majid S
Nuclear and Particle Physics Proceedings, Elsevier vol. 6, 422-424.  
01-03-1989

1988

bullet iconHopf algebras for physics at the Planck scale
Majid S
Classical and Quantum Gravity, Iop Publishing vol. 5 (12) 
01-12-1988
bullet iconLiouville theorem for the Yang–Mills self-duality equations
Majid S
Journal of Mathematical Physics, Aip Publishing vol. 29 (10), 2303-2310.  
01-10-1988

Grants

solid heart iconGrants of specific relevance to the Centre for Geometry, Analysis and Gravitation
solid heart iconHopf algebroids and quantum variational calculus
Shahn Majid
£253,728 Leverhulme Trust
01-10-2024 - 30-09-2027

solid heart iconHADG - MSCA IF 2020 (PI: Shahn Majid)
Shahn Majid
£170,347 EU Commission - Horizon 2020
01-12-2021 - 30-11-2023