Prof Shahn Majid
Professor of Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
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
Publications of specific relevance to the Centre for Geometry, Analysis and Gravitation2025
Majid S (2025). Hopf algebras and q -deformation quantum groups: an overview. Encyclopedia of Mathematical Physics 590-603. 01-01-2025
2024
Beggs E and Majid S (2024). Quantum geodesic flows on graphs. Letters in Mathematical Physics, Springer Nature vol. 114 (5) 16-09-2024
Liu C and Majid S (2024). Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model. Journal of High Energy Physics, Springer Nature vol. 2024 (7) 22-07-2024
Lira-Torres E and Majid S (2024). Geometric Dirac operator on noncommutative torus and M2(C). Letters in Mathematical Physics, Springer Nature vol. 114 (3) 28-05-2024
Majid S (2024). Dirac operator associated to a quantum metric. Journal of Noncommutative Geometry, European Mathematical Society - EMS - Publishing House 23-04-2024
Beggs E and Majid S (2024). Quantum geodesics in quantum mechanics. Journal of Mathematical Physics, AIP Publishing vol. 65 (1) 01-01-2024
2023
Beggs E and Majid S (2023). Quantum geodesic flow on the integer lattice line. Journal of Physics Conference Series, IOP Publishing vol. 2667 (1) 01-12-2023
Majid S and Simão F (2023). Quantum jet bundles. Letters in Mathematical Physics, Springer Nature vol. 113 (6), 120-120. 28-11-2023
Han X and Majid S (2023). Hopf-Galois extensions and twisted Hopf algebroids. Journal of Algebra, Elsevier 28-11-2023
Cowtan A and Majid S (2023). Algebraic aspects of boundaries in the Kitaev quantum double model. Journal of Mathematical Physics, AIP Publishing vol. 64 (10) 01-10-2023
Liu C and Majid S (2023). Quantum Kaluza-Klein theory with M 18-09-2023
Beggs E and Majid S (2023). Quantum geodesic flows and curvature. Letters in Mathematical Physics vol. 113 (3) 01-06-2023
Argota-Quiroz JN and Majid S (2023). Quantum Riemannian geometry of the discrete interval and q-deformation. Journal of Mathematical Physics, AIP Publishing vol. 64 (5) 01-05-2023
Majid S (2023). Quantum geometry of Boolean algebras and de Morgan duality. Journal of Noncommutative Geometry, EMS Press 10-02-2023
2022
Argota-Quiroz JN and Majid S (2022). Quantum gravity on finite spacetimes and dynamical mass. Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". 23-11-2022
Liu C and Majid S (2022). Quantum geodesics on quantum Minkowski spacetime. Journal of Physics A: Mathematical and General, IOP Publishing vol. 55 (42) 28-10-2022
Majid S (2022). Quantum and braided ZX calculus. Journal of Physics A: Mathematical and Theoretical 01-06-2022
Argota-Quiroz JN and Majid S (2022). Quantum Riemannian geometry of the discrete interval and q-deformation. Journal of Mathematical Physics, American Institute of Physics 26-04-2022
Cowtan A and Majid S (2022). Quantum double aspects of surface code models. Journal of Mathematical Physics, AIP Publishing vol. 63 (4) 01-04-2022
Majid S and Lira Torres E (2022). Geometric Dirac operator on the fuzzy sphere. Letters in Mathematical Physics, Springer (part of Springer Nature) 21-01-2022
2021
Argota-Quiroz JN and Majid S (2021). Fuzzy and discrete black hole models. Classical and Quantum Gravity, IOP Publishing vol. 38 (14) 21-06-2021
Majid S and Lira Torres E (2021). Quantum gravity and Riemannian geometry on the fuzzy sphere. Letters in Mathematical Physics, Springer (part of Springer Nature) 05-03-2021
Majid S and Williams L (2021). Poisson principal bundles. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), National Academy of Science of Ukraine 21-01-2021
2020
Majid S and Argota Quiroz J (2020). Quantum gravity on polygons and R x Z_n FLRW mode. Classical and Quantum Gravity, IOP Publishing 13-11-2020
Majid S and Pachol A (2020). Digital quantum groups. Journal of Mathematical Physics, AIP Publishing 22-10-2020
Majid S and AZIZ R (2020). Quantum differentials on cross product Hopf algebras. Journal of Algebra, Elsevier 15-07-2020
Majid S and Pacho A (2020). Digital finite quantum Riemannian geometries. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 53 (11) 27-02-2020
Majid S (2020). Reconstruction and quantization of Riemannian structures. Journal of Mathematical Physics, AIP Publishing vol. 61 (2) 01-02-2020
Majid S (2020). Quantum geometry, logic and probability. Zagadnienia Filozoficzne w Nauce (69), 191-236. 01-01-2020
2019
Majid S (2019). Quantum gravity on a square graph. Classical and Quantum Gravity, IOP Publishing vol. 36 (24) 14-11-2019
Majid S and Tao W-Q (2019). Generalised noncommutative geometry on finite groups and Hopf quivers. Journal of Noncommutative Geometry, European Mathematical Society - EMS - Publishing House vol. 13 (3), 1055-1116. 04-11-2019
Majid S (2019). Quantum Riemannian geometry and particle creation on the integer line. Classical and Quantum Gravity, IOP Publishing vol. 36 (13) 18-06-2019
Bassett ME and Majid S (2019). Finite Noncommutative Geometries Related to Fp[x]. Algebras and Representation Theory, Springer Nature vol. 23 (2), 251-274. 31-01-2019
Aziz R and Majid S (2019). Co-double bosonisation and dual bases of c q [SL 2] and c q [SL 3]. Journal of Algebra, Elsevier vol. 518, 75-118. 01-01-2019
2018
Akylzhanov R, Majid S and Ruzhansky M (2018). Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups. Communications in Mathematical Physics, Springer Nature vol. 362 (3), 761-799. 13-08-2018
MAJID SH (2018). On the Emergence of the Structure of Physics. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, Royal Society, The 19-03-2018
MAJID SH and PACHOL A (2018). Classification of digital affine noncommutative geometries. Journal of Mathematical Physics, AIP Publishing 01-03-2018
MAJID SH and WILLIAMS L (2018). Quantum Koszul formula on quantum spacetime. Journal of Geometry and Physics, Elsevier 19-02-2018
MAJID SH and Osei P (2018). Quasitriangular structure and twisting of the 3D bicrossproduct model. Journal of High Energy Physics, Springer Verlag (Germany) 30-01-2018
2017
MAJID SH and Beggs EJ (2017). Quantum Bianchi identities via DG categories. Journal of Geometry and Physics 21-11-2017
MAJID SH and Beggs EJ (2017). Spectral triples from bimodule connections and Chern connections. Journal of Noncommutative Geometry, European Mathematical Society 29-06-2017
Fritz C and Majid S (2017). Noncommutative spherically symmetric spacetimes at semiclassical order. Classical and Quantum Gravity 14-06-2017
MAJID SH (2017). Quantum Riemannian geometry of phase space and nonassociativity. Demonstratio Mathematica 16-05-2017
MAJID SH (2017). Hodge Star as Braided Fourier Transform. Algebras and Representation Theory, Springer Verlag (Germany) 08-02-2017
MAJID SH, Lopez Pena J and Rietsch K (2017). Lie theory of finite simple groups and Roth property. Cambridge Philosophical Society: Mathematical Proceedings, Cambridge University Press (CUP): STM Journals - No Cambridge Open 09-01-2017
2016
MAJID SH and Beggs EJ (2016). Poisson-Riemannian geometry. Journal of Geometry and Physics, Elsevier 27-12-2016
Majid S (2016). Non-commutative Differential Geometry. Analysis and Mathematical Physics 139-176. 21-12-2016
Majid S and Tao W-Q (2016). Noncommutative differentials on Poisson–Lie groups and pre-Lie algebras. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 284 (1), 213-256. 10-07-2016
2015
Majid S and Tao W-Q (2015). Duality for generalised differentials on quantum groups. Journal of Algebra, Elsevier vol. 439, 67-109. 01-10-2015
Majid S and Tao W-Q (2015). Cosmological constant from quantum spacetime. Physical Review D, American Physical Society (APS) vol. 91 (12) 09-06-2015
2014
MAJID SH (2014). The self-representing Universe. Mathematical Structures of the Universe , Editors: Szybka S, Heller M and Eckstein M. 09-11-2014
Beggs EJ and Majid S (2014). Gravity induced from quantum spacetime. CLASSICAL AND QUANTUM GRAVITY vol. 31 (3) 01-01-2014
2013
Majid S (2013). Noncommutative Riemannian geometry on graphs. JOURNAL OF GEOMETRY AND PHYSICS vol. 69, 74-93. 01-01-2013
Majid S and Rietsch K (2013). Lie theory and coverings of finite groups. JOURNAL OF ALGEBRA vol. 389, 137-150. 01-01-2013
2012
Polkinghorne J, Penrose R, Taylor A, Connes A, Heller M and Majid S (2012). Quantum spacetime and physical reality. On Space and Time 56-140. 26-03-2012
Majid S (2012). Almost Commutative Riemannian Geometry: Wave Operators. COMMUNICATIONS IN MATHEMATICAL PHYSICS vol. 310 (3), 569-609. 01-01-2012
Connes A, Heller M, Majid S, Penrose R, Polkinghorne J and Taylor A (2012). On space and time. 01-01-2012
2011
Gateva-Ivanova T and Majid S (2011). Quantum Spaces Associated to Multipermutation Solutions of Level Two. ALGEBR REPRESENT TH vol. 14 (2), 341-376. 01-04-2011
Majid S (2011). q-Fuzzy Spheres and Quantum Differentials on Bq[SU2] and Uq(su2). LETTERS IN MATHEMATICAL PHYSICS vol. 98 (2), 167-191. 01-01-2011
TOMASIC I and Majid S (2011). On braided zeta functions. Bull. Math. Sci. vol. 1 (2), 379-396. 01-01-2011
Beggs EJ and Majid S (2011). *-compatible connections in noncommutative Riemannian geometry. J GEOM PHYS vol. 61 (1), 95-124. 01-01-2011
2010
Klim J and Majid S (2010). Hopf quasigroups and the algebraic 7-sphere. J ALGEBRA vol. 323 (11), 3067-3110. 01-06-2010
Beggs EJ and Majid S (2010). Quantization by cochain twists and nonassociative differentials. J MATH PHYS vol. 51 (5) 01-05-2010
Majid S, Connes A, Heller M, Penrose R, Polkinghorne J and Taylor A (2010). On space and time. 01-01-2010
Klim J and Majid S (2010). Bicrossproduct Hopf quasigroups. Commentationes Mathematicae Universitatis Carolinae vol. 51 (2), 287-304. 01-01-2010
2009
Majid S and Schroers BJ (2009). q-deformation and semidualization in 3D quantum gravity. J PHYS A-MATH THEOR vol. 42 (42) 23-10-2009
Majid S (2009). Algebraic approach to Quantum Gravity II: noncommutative spacetime. Approaches to Quantum Gravity 466-492. 05-03-2009
2008
Brain SJ and Majid S (2008). Quantisation of Twistor Theory by Cocycle Twist. COMMUN MATH PHYS vol. 284 (3), 713-774. 01-12-2008
Connes A, Heller M, Penrose R, Polkinghorne J, Taylor A and Majid S (2008). Quantum spacetime and physical reality. On Space and Time 56-140. 25-09-2008
Freidel L and Majid S (2008). Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity. CLASSICAL QUANT GRAV vol. 25 (4) 21-02-2008
Gateva-Ivanova T and Majid S (2008). Matched pairs approach to set theoretic solutions of the Yang-Baxter equation. J ALGEBRA vol. 319 (4), 1462-1529. 15-02-2008
2007
Gateva-Ivanova T and Majid S (2007). Set-theoretic solutions of the Yang-Baxter equation, graphs and computations. 01-11-2007
Hadfield T and Majid S (2007). Bicrossproduct approach to the Connes-Moscovici Hopf algebra. J ALGEBRA vol. 312 (1), 228-256. 01-06-2007
Majid S (2007). Algebraic approach to quantum gravity III: Non-commmutative riemannian geometry., Editors: Fauser B, Tolksdorf J and Zeidler E. 01-01-2007
2006
Beggs EJ and Majid S (2006). Semiclassical differential structures. PAC J MATH vol. 224 (1), 1-44. 01-03-2006
Majid S (2006). Bicrossproduct Hopf Algebras and Noncommutative Spacetime. Encyclopedia of Mathematical Physics: Five-Volume Set 01-01-2006
Majid S (2006). Hopf Algebras and q-Deformation Quantum Groups. Encyclopedia of Mathematical Physics: Five-Volume Set 01-01-2006
2005
Majid S (2005). Noncommutative model with spontaneous time generation and Planckian bound. J MATH PHYS vol. 46 (10) 01-10-2005
Majid S (2005). Noncommutative Riemannian and spin geometry of the standard q-sphere. COMMUN MATH PHYS vol. 256 (2), 255-285. 01-06-2005
Majid S (2005). Noncommutative differentials and Yang-Mills on permutation groups S-n., Editors: Caenepeel S and VanOystaeyen F. 189-213. 01-01-2005
MAJID SH (2005). Classification of differentials on quantum doubles and finite noncommutative geometry. Hopf algebras in noncommutative geometry and physics 167-188. 01-01-2005
2004
Majid S and Raineri E (2004). Moduli of quantum Riemannian geometries on <= 4 points. J MATH PHYS vol. 45 (12), 4596-4627. 01-12-2004
Ngakeu F, Majid S and Ezin JP (2004). Cartan calculus for quantum differentials on bicrossproducts. ACTA APPL MATH vol. 84 (2), 193-236. 01-11-2004
Akrami SE and Majid S (2004). Braided cyclic cocycles and nonassociative geometry. J MATH PHYS vol. 45 (10), 3883-3911. 01-10-2004
Goldin GA and Majid S (2004). On the Fock space for nonrelativistic anyon fields and braided tensor products. J MATH PHYS vol. 45 (10), 3770-3787. 01-10-2004
Majid S (2004). Special issue: Quantum groups and noncommutative geometry - Introduction. J MATH PHYS vol. 45 (10), 3701-3702. 01-10-2004
Majid S (2004). Noncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebras., Editors: Ablamowicz R. 01-01-2004
MAJID SH and Akrami SE (2004). Braided cyclic cocycles and nonassociative geometry. J. Math. Phys. vol. 45, 3883-3911. 01-01-2004
2003
Gomez X and Majid S (2003). Braided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebras. J ALGEBRA vol. 261 (2), 334-388. 15-03-2003
Batista E and Majid S (2003). Noncommutative geometry of angular momentum space U(su(2)). J MATH PHYS vol. 44 (1), 107-137. 01-01-2003
Batista E and Majid S (2003). Noncommutative geometry on the algebra U(su2) and quantization of coadjoint orbits., Editors: Gazeau JP, Kerner R, Antoine JP, Metens S and Thibon JY. 01-01-2003
Cameron PJ and Majid S (2003). Braided line and counting fixed points of GL(d, F-q). COMMUN ALGEBRA vol. 31 (4), 2003-2013. 01-01-2003
MAJID SH and GOMEZ X (2003). Relating quantum and braided Lie algebras. Banach Center Publications Volume No: 44 91-102. 01-01-2003
Majid S (2003). Noncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unity. LETT MATH PHYS vol. 63 (1), 39-54. 01-01-2003
2002
Majid S and Raineri E (2002). Electromagnetism and gauge theory on the permutation group S-3. J GEOM PHYS vol. 44 (2-3), 129-155. 01-12-2002
Majid S and Schucker T (2002). Z(2) x Z(2) lattice as a Connes-Lott-quantum group model. J GEOM PHYS vol. 43 (1), 1-26. 01-08-2002
Majid S (2002). Knots and Feynman diagrams, by D. Kreimer. Pp. 272. £21.95. 2000. ISBN 0521 58761 1 (Cambridge University Press). The Mathematical Gazette, Cambridge University Press (CUP) vol. 86 (506), 381-383. 01-07-2002
Albuquerque H and Majid S (2002). Clifford algebras obtained by twisting of group algebras. J PURE APPL ALGEBRA vol. 171 (2-3), 133-148. 25-06-2002
Ngakeu F, Majid S and Lambert D (2002). Noncommutative Riemannian geometry of the alternating group A(4). J GEOM PHYS vol. 42 (3), 259-282. 01-06-2002
Gomez X and Majid S (2002). Noncommutative cohomology and electromagnetism on C-q[SL2] at roots of unity. LETT MATH PHYS vol. 60 (3), 221-237. 01-06-2002
Majid S (2002). Riemannian geometry of quantum groups and finite groups with nonuniversal differentials. COMMUN MATH PHYS vol. 225 (1), 131-170. 01-01-2002
2001
Beggs EJ and Majid S (2001). Poisson-Lie T-duality for quasitriangular Lie bialgebras. COMMUN MATH PHYS vol. 220 (3), 455-488. 01-07-2001
MAJID SH (2001). Noncommutative differential geometry and twisting of quantum groups. Quantum Groups and Lie Theory 175-190. 01-01-2001
2000
AMELINO-CAMELIA G and MAJID S (2000). WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS. International Journal of Modern Physics A, World Scientific Publishing vol. 15 (27), 4301-4323. 30-10-2000
Brzeziński T and Majid S (2000). Quantum Geometry of Algebra Factorisations¶and Coalgebra Bundles. Communications in Mathematical Physics, Springer Nature vol. 213 (3), 491-521. 01-10-2000
MAJID S (2000). CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS. 20-09-2000
Majid S (2000). Quantum groups and noncommutative geometry. Journal of Mathematical Physics, AIP Publishing vol. 41 (6), 3892-3942. 01-06-2000
Majid S (2000). Non-commutative geometry and quantum groups. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, The Royal Society vol. 358 (1765), 89-109. 15-01-2000
Majid S (2000). Braided-Lie bialgebras. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 192 (2), 329-356. 01-01-2000
Amelino-Camelia G and Majid S (2000). Waves on noncommutative space-time and gamma-ray bursts. INTERNATIONAL JOURNAL OF MODERN PHYSICS A vol. 15 (27), 4301-4323. 01-01-2000
Majid S and Oeckl R (2000). Twisting of Quantum Differentials. Geometry and Quantum Physics 392-392. 01-01-2000
1999
Albuquerque H and Majid S (1999). Quasialgebra Structure of the Octonions. Journal of Algebra, Elsevier vol. 220 (1), 188-224. 01-10-1999
Hajac PM and Majid S (1999). Projective Module Description of the q-Monopole. Communications in Mathematical Physics, Springer Nature vol. 206 (2), 247-264. 01-10-1999
Majid S and Oeckl R (1999). Twisting of Quantum Differentials and¶the Planck Scale Hopf Algebra. Communications in Mathematical Physics, Springer Nature vol. 205 (3), 617-655. 01-09-1999
MAJID S (1999). DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY. Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 8 (06), 731-771. 01-09-1999
Beggs E and Majid S (1999). Quasitriangular and Differential Structures on Bicrossproduct Hopf Algebras. Journal of Algebra, Elsevier vol. 219 (2), 682-727. 01-09-1999
Majid S (1999). Quantum and braided group Riemannian geometry. Journal of Geometry and Physics, Elsevier vol. 30 (2), 113-146. 01-05-1999
Majid S (1999). Quantum geometry of field extensions. Journal of Mathematical Physics, AIP Publishing vol. 40 (5), 2311-2323. 01-05-1999
MAJID S (1999). Double-bosonization of braided groups and the construction of Uq(g). Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP) vol. 125 (1), 151-192. 01-01-1999
1998
Majid S (1998). Some remarks on braided group reconstruction and braided doubles. Czechoslovak Journal of Physics, Springer Nature vol. 48 (11), 1447-1456. 01-11-1998
Majid S (1998). Quantum and braided diffeomorphism groups. Journal of Geometry and Physics, Elsevier vol. 28 (1-2), 94-128. 01-11-1998
Brzeziński T and Majid S (1998). Quantum Differentials and the q-Monopole Revisited. Acta Applicandae Mathematicae, Springer Nature vol. 54 (2), 185-232. 01-11-1998
Majid S (1998). Quantum Double for Quasi-Hopf Algebras. Letters in Mathematical Physics, Springer Nature vol. 45 (1), 1-9. 01-07-1998
Majid S (1998). Classification of bicovariant differential calculi. Journal of Geometry and Physics, Elsevier vol. 25 (1-2), 119-140. 01-04-1998
Brzeziński T and Majid S (1998). Coalgebra Bundles. Communications in Mathematical Physics, Springer Nature vol. 191 (2), 467-492. 01-02-1998
1997
Majid S (1997). Fermionic q-Fock space and braided geometry. Journal of Mathematical Physics, AIP Publishing vol. 38 (9), 4845-4853. 01-09-1997
Majid S (1997). Quasi-∗ structure on q-Poincaré algebras. Journal of Geometry and Physics, Elsevier vol. 22 (1), 14-58. 01-04-1997
MAJID S (1997). Bicross-Product Structure of Affine Quantum Groups. Letters in Mathematical Physics, Springer Nature vol. 39 (3), 243-252. 01-02-1997
Majid S (1997). Some comments on bosonisation and biproducts. Czechoslovak Journal of Physics, Springer Nature vol. 47 (2), 151-171. 01-02-1997
Majid S (1997). New quantum groups by double-bosonisation. Czechoslovak Journal of Physics, Springer Nature vol. 47 (1), 79-90. 01-01-1997
Majid S (1997). Anyonic lie algebras. Czechoslovak Journal of Physics, Springer Nature vol. 47 (12), 1241-1250. 01-01-1997
Majid S (1997). Braided geometry and the inductive construction of Lie algebras and quantum groups. 01-01-1997
1996
Majid S (1996). Braided geometry of the conformal algebra. Journal of Mathematical Physics, AIP Publishing vol. 37 (12), 6495-6509. 01-12-1996
Beggs EJ, Gould JD and Majid S (1996). Finite Group Factorizations and Braiding. Journal of Algebra, Elsevier vol. 181 (1), 112-151. 01-04-1996
Majid S and Markl M (1996). Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type. Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP) vol. 119 (1), 139-166. 01-01-1996
1995
Majid S and Rodríguez-Plaza MJ (1995). Nonstandard quantum groups and superization. Journal of Mathematical Physics, AIP Publishing vol. 36 (12), 7081-7097. 01-12-1995
MAJID S (1995). SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS. Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 4 (04), 673-697. 01-12-1995
Majid S (1995). *‐structures on braided spaces. Journal of Mathematical Physics, AIP Publishing vol. 36 (8), 4436-4449. 01-08-1995
Majid S (1995). q‐epsilon tensor for quantum and braided spaces. Journal of Mathematical Physics, AIP Publishing vol. 36 (4), 1991-2007. 01-04-1995
Brzeziński T and Majid S (1995). Quantum group Gauge theory on quantum spaces. Communications in Mathematical Physics, Springer Nature vol. 167 (1), 235-235. 01-01-1995
1994
Kempf A and Majid S (1994). Algebraic q‐integration and Fourier theory on quantum and braided spaces. Journal of Mathematical Physics, AIP Publishing vol. 35 (12), 6802-6837. 01-12-1994
Majid S and Rodríguez-Plaza MJ (1994). Anyonic FRT construction. Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1073-1080. 01-11-1994
Majid S (1994). Some remarks on the quantum double. Czechoslovak Journal of Physics, Springer Nature vol. 44 (11-12), 1059-1071. 01-11-1994
Majid S (1994). q‐Euclidean space and quantum Wick rotation by twisting. Journal of Mathematical Physics, AIP Publishing vol. 35 (9), 5025-5034. 01-09-1994
Majid S and Ruegg H (1994). Bicrossproduct structure of κ-Poincare group and non-commutative geometry. Physics Letters B, Elsevier vol. 334 (3-4), 348-354. 01-08-1994
Majid S and Rodríguez-Plaza MJ (1994). Random walk and the heat equation on superspace and anyspace. Journal of Mathematical Physics, AIP Publishing vol. 35 (7), 3753-3760. 01-07-1994
Majid S and Meyer U (1994). Braided matrix structure ofq-Minkowski space andq-Poincaré group. Zeitschrift für Physik C Particles and Fields, Springer Nature vol. 63 (2), 357-362. 01-06-1994
Lyubashenko V and Majid S (1994). Braided Groups and Quantum Fourier Transform. Journal of Algebra, Elsevier vol. 166 (3), 506-528. 01-06-1994
Majid S (1994). Quantum and braided-Lie algebras. Journal of Geometry and Physics, Elsevier vol. 13 (4), 307-356. 01-05-1994
Majid S (1994). On the addition of quantum matrices. Journal of Mathematical Physics, AIP Publishing vol. 35 (5), 2617-2632. 01-05-1994
Majid S (1994). The quantum double as quantum mechanics. Journal of Geometry and Physics, Elsevier vol. 13 (2), 169-202. 01-02-1994
Gurevich D and Majid S (1994). Braided groups of Hopf algebras obtained by twisting. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 162 (1), 27-44. 01-01-1994
Majid S (1994). Bicrossproduct Structure of the Quantum Weyl Group. Journal of Algebra, Elsevier vol. 163 (1), 68-87. 01-01-1994
Majid S (1994). Cross Products by Braided Groups and Bosonization. Journal of Algebra, Elsevier vol. 163 (1), 165-190. 01-01-1994
1993
Brzeziński T and Majid S (1993). Quantum group gauge theory on quantum spaces. Communications in Mathematical Physics, Springer Nature vol. 157 (3), 591-638. 01-11-1993
MAJID S (1993). QUANTUM RANDOM WALKS AND TIME REVERSAL. International Journal of Modern Physics A, World Scientific Publishing vol. 8 (25), 4521-4545. 10-10-1993
Majid S (1993). Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group. Communications in Mathematical Physics, Springer Nature vol. 156 (3), 607-638. 01-10-1993
Majid S (1993). Free braided differential calculus, braided binomial theorem, and the braided exponential map. Journal of Mathematical Physics, AIP Publishing vol. 34 (10), 4843-4856. 01-10-1993
Majid S (1993). BRAIDED GROUPS AND BRAID STATISTICS. Quantum Probability and Related Topics 281-295. 01-09-1993
Baskerville WK and Majid S (1993). The braided Heisenberg group. Journal of Mathematical Physics, AIP Publishing vol. 34 (8), 3588-3606. 01-08-1993
Majid S and Rodríguez-Plaza MJ (1993). Quantum and super-quantum group related to the Alexander-Conway polynomial. Journal of Geometry and Physics, Elsevier vol. 11 (1-4), 437-443. 01-06-1993
Majid S (1993). Braided groups. Journal of Pure and Applied Algebra, Elsevier vol. 86 (2), 187-221. 01-05-1993
Majid S (1993). Braided momentum in the q‐Poincaré group. Journal of Mathematical Physics, AIP Publishing vol. 34 (5), 2045-2058. 01-05-1993
Majid S (1993). Quantum and braided linear algebra. Journal of Mathematical Physics, AIP Publishing vol. 34 (3), 1176-1196. 01-03-1993
Majid S (1993). Transmutation theory and rank for quantum braided groups. Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press (CUP) vol. 113 (1), 45-70. 01-01-1993
Brzeziński T and Majid S (1993). Quantum group gauge theory on classical spaces. Physics Letters B, Elsevier vol. 298 (3-4), 339-343. 01-01-1993
DONIN J, GUREVICH D and MAJID S (1993). R-MATRIX BRACKETS AND THEIR QUANTIZATION. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE vol. 58 (2), 235-246. 01-01-1993
Majid S (1993). Anyonic Quantum Groups. Spinors, Twistors, Clifford Algebras and Quantum Deformations 327-336. 01-01-1993
1992
Majid S (1992). C -statistical quantum groups and Weyl algebras. Journal of Mathematical Physics, AIP Publishing vol. 33 (10), 3431-3444. 01-10-1992
Brzeziński T and Majid S (1992). A class of bicovariant differential calculi on hopf algebras. Letters in Mathematical Physics, Springer Nature vol. 26 (1), 67-78. 01-09-1992
MACFARLANE AJ and MAJID S (1992). SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR. International Journal of Modern Physics A, World Scientific Publishing vol. 7 (18), 4377-4393. 20-07-1992
Lyubashenko VV and Majid S (1992). Fourier transform identities in quantum mechanics and the quantum line. Physics Letters B, Elsevier vol. 284 (1-2), 66-70. 01-06-1992
MAJID S (1992). RANK OF QUANTUM GROUPS AND BRAIDED GROUPS IN DUAL FORM. LECTURE NOTES IN MATHEMATICS vol. 1510, 79-89. 01-01-1992
MAJID S (1992). AN OPEN PROBLEM IN QUANTUM GROUPS. LECTURE NOTES IN MATHEMATICS vol. 1510, 390-391. 01-01-1992
MACFARLANE AJ and MAJID S (1992). THE SUPERALGEBRA OSP(1/2) AND A RELATED QUANTUM GROUP-STRUCTURE FOR HARMONIC-OSCILLATOR SYSTEMS. 01-01-1992
1991
Majid S (1991). Examples of braided groups and braided matrices. Journal of Mathematical Physics, AIP Publishing vol. 32 (12), 3246-3253. 01-12-1991
MAJID S (1991). RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES. International Journal of Modern Physics A, World Scientific Publishing vol. 6 (24), 4359-4374. 10-10-1991
Macfarlane AJ and Majid S (1991). Quantum group structure in a fermionic extension of the quantum harmonic oscillator. Physics Letters B, Elsevier vol. 268 (1), 71-74. 01-10-1991
Majid S (1991). QUANTUM GROUPS AND QUANTUM PROBABILITY. Quantum Probability and Related Topics 333-358. 01-10-1991
Majid S (1991). Principle of Representation‐Theoretic Self‐Duality. Physics Essays, Physics Essays Publication vol. 4 (3), 395-405. 01-09-1991
Majid S (1991). Braided groups and algebraic quantum field theories. Letters in Mathematical Physics, Springer Nature vol. 22 (3), 167-175. 01-07-1991
Majid S (1991). Gauge-covariant vacuum expectations and glueballs. Il Nuovo Cimento A (1971-1996), Springer Nature vol. 104 (7), 949-960. 01-07-1991
Majid S (1991). Quasi-quantum groups as internal symmetries of topological quantum field theories. Letters in Mathematical Physics, Springer Nature vol. 22 (2), 83-90. 01-06-1991
Majid S (1991). Mass dependence ofU(1) axial-symmetry breakdown. Il Nuovo Cimento A (1971-1996), Springer Nature vol. 104 (5), 617-640. 01-05-1991
MAJID S and SOIBELMAN YS (1991). CHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVE. International Journal of Modern Physics A, World Scientific Publishing vol. 6 (10), 1815-1827. 20-04-1991
Majid S and Soibelman YS (1991). Rank of quantized universal enveloping algebras and modular functions. Communications in Mathematical Physics, Springer Nature vol. 137 (2), 249-262. 01-04-1991
Majid S (1991). Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the Classical Yang-Baxter Equations. Journal of Functional Analysis, Elsevier vol. 95 (2), 291-319. 01-02-1991
Majid S (1991). Doubles of quasitriangular hopf algebras. Communications in Algebra, Taylor & Francis vol. 19 (11), 3061-3073. 01-01-1991
1990
MAJID S (1990). ON q-REGULARIZATION. International Journal of Modern Physics A, World Scientific Publishing vol. 5 (24), 4689-4696. 20-12-1990
Majid S (1990). Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction. Journal of Algebra, Elsevier vol. 130 (1), 17-64. 01-04-1990
Majid S (1990). Fourier transforms on ????/???? and knot invariants. Journal of Mathematical Physics, AIP Publishing vol. 31 (4), 924-927. 01-04-1990
Majid S (1990). More examples of bicrossproduct and double cross product Hopf algebras. Israel Journal of Mathematics, Springer Nature vol. 72 (1-2), 133-148. 01-02-1990
MAJID S (1990). QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS. International Journal of Modern Physics A, World Scientific Publishing vol. 5 (01), 1-91. 10-01-1990
Majid S (1990). Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 141 (2), 311-332. 01-01-1990
Majid S (1990). Representation-theoretic rank and double hopf algebras. Communications in Algebra, Taylor & Francis vol. 18 (11), 3705-3712. 01-01-1990
BEGGS E and MAJID S (1990). MATCHED PAIRS OF TOPOLOGICAL LIE-ALGEBRAS CORRESPONDING TO LIE BIALGEBRA STRUCTURES ON DIFF(S1) AND DIFF(R). ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE vol. 53 (1), 15-34. 01-01-1990
MAJID S (1990). QUANTUM GROUP DUALITY IN VERTEX MODELS AND OTHER RESULTS IN THE THEORY OF QUASI-TRAINGULAR HOPF-ALGEBRAS. 01-01-1990
1989
Majid S (1989). Erratum: Liouville theorem for the Yang–Mills self-duality equations [J. Math. Phys. 2 9 , 2303 (1988)]. Journal of Mathematical Physics, AIP Publishing vol. 30 (7), 1652-1652. 01-07-1989
Majid S (1989). Canonical arbitrary-spin background-field wave operator and applications. Il Nuovo Cimento A (1971-1996), Springer Nature vol. 101 (6), 857-882. 01-06-1989
Majid S (1989). Partial waves for the linearized Yang–Mills equation about a monopole background. Journal of Mathematical Physics, AIP Publishing vol. 30 (5), 1150-1157. 01-05-1989
Majid S (1989). Matched pairs of lie groups and Hopf algebra bicrossproducts. Nuclear and Particle Physics Proceedings, Elsevier vol. 6, 422-424. 01-03-1989
1988
Majid S (1988). Hopf algebras for physics at the Planck scale. Classical and Quantum Gravity, IOP Publishing vol. 5 (12) 01-12-1988
Majid S (1988). Liouville theorem for the Yang–Mills self-duality equations. Journal of Mathematical Physics, AIP Publishing vol. 29 (10), 2303-2310. 01-10-1988
Grants
Grants of specific relevance to the Centre for Geometry, Analysis and GravitationHopf algebroids and quantum variational calculus
Shahn Majid
£253,728 Leverhulme Trust (01-10-2024 - 30-09-2027)
HADG - MSCA IF 2020 (PI: Shahn Majid)Shahn Majid
£170,347 EU Commission - Horizon 2020 (01-12-2021 - 30-11-2023)