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## Majid, Shahn

Compute Distance To:
 Author ID: majid.shahn Published as: Majid; Majid, S.; Majid, Shahn External Links: MGP · Wikidata · ORCID
 Documents Indexed: 171 Publications since 1988, including 5 Books
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#### Co-Authors

 65 single-authored 14 Beggs, Edwin J. 7 Brzeziński, Tomasz 4 Albuquerque, Helena 3 Gateva-Ivanova, Tatiana 3 Gomez, Xavier 3 Rodríguez Plaza, M. J. 3 Soibelman, Yan S. 3 Tao, Wen-Qing 2 Aziz, Ryan 2 Gurevich, Dmitrii 2 Macfarlane, Alan J. 2 Pachol, Anna 2 Raineri, Emanuele 1 Akylzhanov, Rauan Kh. 1 Amelino-Camelia, Giovanni 1 Batista, Eliezer 1 Donin, Joseph 1 Freidel, Laurent 1 Fritz, Christopher 1 Goldin, Gerald A. 1 Gould, John D. 1 Hajac, Piotr M. 1 Kempf, Achim 1 Lyubashenko, Volodymyr V. 1 Markl, Martin 1 Oeckl, Robert 1 Ruzhansky, Michael V. 1 Schücker, Thomas 1 Tomašić, Ivan 1 Williams, Liam
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#### Serials

 20 Journal of Mathematical Physics 12 Journal of Algebra 11 Communications in Mathematical Physics 10 Journal of Geometry and Physics 6 International Journal of Modern Physics A 6 Letters in Mathematical Physics 5 Pacific Journal of Mathematics 4 Classical and Quantum Gravity 3 Algebras and Representation Theory 2 Communications in Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Pure and Applied Algebra 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Knot Theory and its Ramifications 2 Journal of Noncommutative Geometry 1 International Journal of Modern Physics B 1 Israel Journal of Mathematics 1 Demonstratio Mathematica 1 Journal of Functional Analysis 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Notices of the American Mathematical Society 1 Nuclear Physics, B, Proceedings Supplements 1 Grundlehren der Mathematischen Wissenschaften 1 London Mathematical Society Lecture Note Series 1 Bulletin of Mathematical Sciences
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#### Fields

 79 Quantum theory (81-XX) 72 Nonassociative rings and algebras (17-XX) 62 Associative rings and algebras (16-XX) 48 Global analysis, analysis on manifolds (58-XX) 25 Category theory; homological algebra (18-XX) 16 Relativity and gravitational theory (83-XX) 15 Group theory and generalizations (20-XX) 15 Functional analysis (46-XX) 14 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

154 Publications have been cited 3,268 times in 1,675 Documents Cited by Year
Foundations of quantum group theory. Zbl 0857.17009
Majid, Shahn
1995
Bicrossproduct structure of $$\kappa$$-Poincaré group and non-commutative geometry. Zbl 1112.81328
Majid, S.; Ruegg, H.
1994
Quasitriangular Hopf algebras and Yang-Baxter equations. Zbl 0709.17009
Majid, Shahn
1990
Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction. Zbl 0694.16008
Majid, Shahn
1990
Quantum group gauge theory on quantum spaces. Zbl 0817.58003
Brzeziński, Tomasz; Majid, Shahn
1993
Cross products by braided groups and bosonization. Zbl 0807.16036
Majid, Shahn
1994
Algebras and Hopf algebras in braided categories. Zbl 0812.18004
Majid, Shahn
1994
Coalgebra bundles. Zbl 0899.55016
Brzeziński, Tomasz; Majid, Shahn
1998
Braided groups. Zbl 0797.17004
Majid, Shahn
1993
Examples of braided groups and braided matrices. Zbl 0821.16042
Majid, Shahn
1991
Quasialgebra structure of the octonions. Zbl 0999.17006
Albuquerque, Helena; Majid, Shahn
1999
Doubles of quasitriangular Hopf algebras. Zbl 0767.16014
Majid, Shahn
1991
Braided momentum in the $$q$$-Poincaré group. Zbl 0786.17013
Majid, Shahn
1993
Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations. Zbl 0735.17017
Majid, Shahn
1990
Quantum double for quasi-Hopf algebras. Zbl 0940.16018
Majid, S.
1998
Representations, duals and quantum doubles of monoidal categories. Zbl 0762.18005
Majid, Shahn
1991
Braided groups and algebraic quantum field theories. Zbl 0745.16019
Majid, Shahn
1991
Hopf algebras for physics at the Planck scale. Zbl 0672.16009
Majid, Shahn
1988
Free braided differential calculus, braided binomial theorem, and the braided exponential map. Zbl 0807.16035
Majid, S.
1993
Matched pairs approach to set theoretic solutions of the Yang-Baxter equation. Zbl 1140.16016
Gateva-Ivanova, Tatiana; Majid, Shahn
2008
Noncommutative Riemannian and spin geometry of the standard $$q$$-sphere. Zbl 1075.58004
Majid, S.
2005
Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group. Zbl 0804.17013
Majid, S.
1993
Double-bosonization of braided groups and the construction of $$U_q(g)$$. Zbl 0974.17018
Majid, S.
1999
Braided groups and quantum Fourier transform. Zbl 0810.17006
Lyubashenko, Volodimir; Majid, Shahn
1994
A quantum groups primer. Zbl 1037.17014
Majid, Shahn
2002
More examples of bicrossproduct and double cross product Hopf algebras. Zbl 0725.17015
Majid, Shahn
1990
Quantum and braided-Lie algebras. Zbl 0821.17007
Majid, S.
1994
Projective module description of the $$q$$-monopole. Zbl 0936.46052
Hajac, Piotr M.; Majid, Shahn
1999
Algebraic $$q$$-integration and Fourier theory on quantum and braided spaces. Zbl 0826.17018
Kempf, Achim; Majid, Shahn
1994
Hopf quasigroups and the algebraic 7-sphere. Zbl 1200.81087
Klim, J.; Majid, S.
2010
Clifford algebras obtained by twisting of group algebras. Zbl 1054.15024
Albuquerque, Helena; Majid, Shahn
2002
Quantum and braided linear algebra. Zbl 0781.17005
Majid, S.
1993
Quantum geometry of algebra factorisations and coalgebra bundles. Zbl 0979.58002
Brzeziński, Tomasz; Majid, Shahn
2000
Twisting of quantum differentials and the Planck scale Hopf algebra. Zbl 0939.58007
Majid, Shahn; Oeckl, Robert
1999
Transmutation theory and rank for quantum braided groups. Zbl 0781.17006
Majid, Shahn
1993
*-compatible connections in noncommutative Riemannian geometry. Zbl 1211.53092
Beggs, E. J.; Majid, S.
2011
Waves on noncommutative space-time and gamma-ray bursts. Zbl 0986.81050
Amelino-Camelia, Giovanni; Majid, Shahn
2000
On $$q$$-regularization. Zbl 0745.17022
Majid, Shahn
1990
Quantum and braided group Riemannian geometry. Zbl 0940.58004
Majid, Shahn
1999
Tannaka-Krein theorem for quasi-Hopf algebras and other results. Zbl 0788.17012
Majid, Shahn
1992
Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations. Zbl 0741.46033
Majid, Shahn
1991
Noncommutative harmonic analysis, sampling theory and the Duflo map in $$2+1$$ quantum gravity. Zbl 1190.83070
Freidel, Laurent; Majid, Shahn
2008
Riemannian geometry of quantum groups and finite groups with nonuniversal differentials. Zbl 0999.58004
Majid, Shahn
2002
Quantum differentials and the $$q$$-monopole revisited. Zbl 0946.58005
Brzeziński, Tomasz; Majid, Shahn
1998
Semiclassical differential structures. Zbl 1110.58002
Beggs, Edwin J.; Majid, Shahn
2006
Braided cyclic cocycles and nonassociative geometry. Zbl 1071.58006
Akrami, S. E.; Majid, S.
2004
Classification of bicovariant differential calculi. Zbl 0952.17012
Majid, S.
1998
Reconstruction theorems and rational conformal field theories. Zbl 0728.17011
Majid, Shahn
1991
Finite group factorizations and braiding. Zbl 0856.17007
Beggs, E. J.; Gould, J. D.; Majid, S.
1996
Noncommutative differentials and Yang-Mills on permutation groups $$S_n$$. Zbl 1076.58004
Majid, Shahn
2005
Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras. Zbl 1018.17009
Gomez, X.; Majid, S.
2003
$$q$$-Euclidean space and quantum Wick rotation by twisting. Zbl 0833.17015
Majid, S.
1994
Braided groups of Hopf algebras obtained by twisting. Zbl 0787.17010
Gurevich, D.; Majid, Shahn
1994
Set-theoretic solutions of the Yang-Baxter equation, graphs and computations. Zbl 1150.17014
Gateva-Ivanova, Tatiana; Majid, Shahn
2007
Meaning of noncommutative geometry and the Planck-scale quantum group. Zbl 1024.81047
Majid, Shahn
2000
Quasitriangular and differential structures on bicrossproduct Hopf algebras. Zbl 0942.16035
Beggs, Edwin; Majid, Shahn
1999
Erratum: Quantum group gauge theory on quantum spaces. Zbl 0823.58006
Brzeziński, T.; Majid, Shahn
1995
$$\mathbb{C}$$-statistical quantum groups and Weyl algebras. Zbl 0773.17013
Majid, Shahn
1992
The quantum double as quantum mechanics. Zbl 0803.17005
Majid, S.
1994
Quantization by cochain twists and nonassociative differentials. Zbl 1310.81101
Beggs, E. J.; Majid, S.
2010
Noncommutative geometry of angular momentum space $$U(\mathfrak{su}(2))$$. Zbl 1061.81040
Batista, Eliezer; Majid, Shahn
2003
Glueing operation for $$R$$-matrices, quantum groups and link-invariants of Hecke type. Zbl 0859.17007
Majid, Shahn; Markl, Martin
1996
Solutions of the Yang-Baxter equations from braided-Lie algebras and braided groups. Zbl 0856.17014
Majid, Shahn
1995
Quantum spaces associated to multipermutation solutions of level two. Zbl 1241.81106
Gateva-Ivanova, Tatiana; Majid, Shahn
2011
Random walk and the heat equation on superspace and anyspace. Zbl 0808.60090
Majid, S.; Rodríguez-Plaza, M. J.
1994
Gravity induced from quantum spacetime. Zbl 1290.83014
Beggs, Edwin J.; Majid, Shahn
2014
Bar categories and star operations. Zbl 1180.18002
Beggs, E. J.; Majid, S.
2009
A class of bicovariant differential calculi on Hopf algebras. Zbl 0776.58005
Brzeziński, Tomasz; Majid, Shahn
1992
Quasi-quantum groups as internal symmetries of topological quantum field theories. Zbl 0746.17008
Majid, Shahn
1991
$$q$$-deformation and semidualization in 3D quantum gravity. Zbl 1187.83033
Majid, S.; Schroers, B. J.
2009
On the Fock space for nonrelativistic anyon fields and braided tensor products. Zbl 1071.81065
Goldin, Gerald A.; Majid, Shahn
2004
Electromagnetism and gauge theory on the permutation group $$S_{3}$$. Zbl 1041.81068
Majid, Shahn; Raineri, E.
2002
Quasi-$$*$$ structure on $$q$$-Poincaré algebras. Zbl 0882.16025
Majid, S.
1997
Bicrossproduct structure of the quantum Weyl group. Zbl 0801.17014
Majid, Shahn; Soibelman, Ya. S.
1994
$$R$$-matrix brackets and their quantization. Zbl 0783.17005
Donin, J.; Gurevich, D.; Majid, S.
1993
Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004
Beggs, Edwin; Majid, Shahn
2017
Quantisation of twistor theory by cocycle twist. Zbl 1162.58002
Brain, S. J.; Majid, S.
2008
Quantum random walks and time reversal. Zbl 0985.81562
Majid, S.
1993
Hodge star as braided Fourier transform. Zbl 1375.81140
Majid, Shahn
2017
Noncommutative Riemannian geometry on graphs. Zbl 1278.05123
Majid, Shahn
2013
Bicrossproduct Hopf quasigroups. Zbl 1224.81014
Klim, J.; Majid, S.
2010
Gauge theory on nonassociative spaces. Zbl 1111.81101
Majid, S.
2005
Noncommutative Riemannian geometry of the alternating group $${\mathcal A}_{4}$$. Zbl 1010.58001
Ngakeu, F.; Majid, S.; Lambert, D.
2002
Quantum groups and noncommutative geometry. Zbl 0974.58005
Majid, Shahn
2000
Braided-Lie bialgebras. Zbl 1017.17019
Majid, Shahn
2000
$$*$$-structures on braided spaces. Zbl 0844.46048
Majid, S.
1995
Anyonic quantum groups. Zbl 0999.17503
Majid, Shahn
1993
Representation-theoretic rank and double Hopf algebras. Zbl 0715.16013
Majid, Shahn
1990
Quantum Riemannian geometry. Zbl 1436.53001
Beggs, Edwin J.; Majid, Shahn
2020
Conceptual issues for noncommutative gravity on algebras and finite sets. Zbl 1073.83510
Majid, Shahn
2000
$$q$$-epsilon tensor for quantum and braided spaces. Zbl 0833.17018
Majid, S.
1995
Rank of quantum groups and braided groups in dual form. Zbl 0762.17015
Majid, Shahn
1992
Matched pairs of Lie groups and Hopf algebra bicrossproducts. Zbl 0959.16500
Majid, Shahn
1989
Poisson-Riemannian geometry. Zbl 1358.81129
Beggs, Edwin J.; Majid, Shahn
2017
Noncommutative differentials on Poisson-Lie groups and pre-Lie algebras. Zbl 1383.17010
Majid, Shahn; Tao, Wen-Qing
2016
Almost commutative Riemannian geometry: Wave operators. Zbl 1241.53060
Majid, Shahn
2012
Poisson-Lie $$T$$-duality for quasitriangular Lie bialgebras. Zbl 0987.81091
Beggs, E. J.; Majid, Shahn
2001
On the addition of quantum matrices. Zbl 0812.17015
Majid, S.
1994
Lie theory of finite simple groups and the Roth property. Zbl 1426.46047
López Peña, J.; Majid, S.; Rietsch, K.
2017
Noncommutative model with spontaneous time generation and Planckian bound. Zbl 1111.81099
Majid, S.
2005
Quantum Riemannian geometry. Zbl 1436.53001
Beggs, Edwin J.; Majid, Shahn
2020
Finite noncommutative geometries related to $$\mathbb{F}_p[x]$$. Zbl 1437.81043
Bassett, M. E.; Majid, S.
2020
Generalised noncommutative geometry on finite groups and Hopf quivers. Zbl 1442.58005
Majid, Shahn; Tao, Wen-Qing
2019
Co-double bosonisation and dual bases of $$c_q[SL_2]$$ and $$c_q[SL_3]$$. Zbl 1445.16031
Aziz, Ryan; Majid, Shahn
2019
Quantum Koszul formula on quantum spacetime. Zbl 1388.81237
Majid, Shahn; Williams, Liam
2018
Classification of digital affine noncommutative geometries. Zbl 1387.81245
Majid, Shahn; Pachoł, Anna
2018
Smooth dense subalgebras and Fourier multipliers on compact quantum groups. Zbl 1428.46043
Akylzhanov, Rauan; Majid, Shahn; Ruzhansky, Michael
2018
Quantum Bianchi identities via DG categories. Zbl 1388.53017
Beggs, Edwin J.; Majid, Shahn
2018
Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004
Beggs, Edwin; Majid, Shahn
2017
Hodge star as braided Fourier transform. Zbl 1375.81140
Majid, Shahn
2017
Poisson-Riemannian geometry. Zbl 1358.81129
Beggs, Edwin J.; Majid, Shahn
2017
Lie theory of finite simple groups and the Roth property. Zbl 1426.46047
López Peña, J.; Majid, S.; Rietsch, K.
2017
Non-commutative differential geometry. Zbl 1372.58007
Majid, Shahn
2017
Quantum Riemannian geometry of phase space and nonassociativity. Zbl 1368.81106
Beggs, Edwin J.; Majid, Shahn
2017
Noncommutative spherically symmetric spacetimes at semiclassical order. Zbl 1367.83034
Fritz, Christopher; Majid, Shahn
2017
Noncommutative differentials on Poisson-Lie groups and pre-Lie algebras. Zbl 1383.17010
Majid, Shahn; Tao, Wen-Qing
2016
Duality for generalised differentials on quantum groups. Zbl 1320.81069
Majid, Shahn; Tao, Wen-Qing
2015
Gravity induced from quantum spacetime. Zbl 1290.83014
Beggs, Edwin J.; Majid, Shahn
2014
Noncommutative Riemannian geometry on graphs. Zbl 1278.05123
Majid, Shahn
2013
Lie theory and coverings of finite groups. Zbl 1297.81112
Majid, S.; Rietsch, K.
2013
Quantum groups and braided algebra. Zbl 1352.17017
Majid, Shahn
2013
Magnetoacoustic solitary waves in pair ion-electron plasmas. Zbl 1264.76134
Ruan, Shisen; Wu, Shan; Majid; Ze, Cheng
2013
Almost commutative Riemannian geometry: Wave operators. Zbl 1241.53060
Majid, Shahn
2012
*-compatible connections in noncommutative Riemannian geometry. Zbl 1211.53092
Beggs, E. J.; Majid, S.
2011
Quantum spaces associated to multipermutation solutions of level two. Zbl 1241.81106
Gateva-Ivanova, Tatiana; Majid, Shahn
2011
$$q$$-fuzzy spheres and quantum differentials on $$B_q[\mathrm{SU}_2]$$ and $$U_q(\mathrm{su}_2)$$. Zbl 1268.58005
Majid, Shahn
2011
On braided zeta functions. Zbl 1258.14030
Majid, Shahn; Tomašić, Ivan
2011
Hopf quasigroups and the algebraic 7-sphere. Zbl 1200.81087
Klim, J.; Majid, S.
2010
Quantization by cochain twists and nonassociative differentials. Zbl 1310.81101
Beggs, E. J.; Majid, S.
2010
Bicrossproduct Hopf quasigroups. Zbl 1224.81014
Klim, J.; Majid, S.
2010
Bar categories and star operations. Zbl 1180.18002
Beggs, E. J.; Majid, S.
2009
$$q$$-deformation and semidualization in 3D quantum gravity. Zbl 1187.83033
Majid, S.; Schroers, B. J.
2009
Matched pairs approach to set theoretic solutions of the Yang-Baxter equation. Zbl 1140.16016
Gateva-Ivanova, Tatiana; Majid, Shahn
2008
Noncommutative harmonic analysis, sampling theory and the Duflo map in $$2+1$$ quantum gravity. Zbl 1190.83070
Freidel, Laurent; Majid, Shahn
2008
Quantisation of twistor theory by cocycle twist. Zbl 1162.58002
Brain, S. J.; Majid, S.
2008
Set-theoretic solutions of the Yang-Baxter equation, graphs and computations. Zbl 1150.17014
Gateva-Ivanova, Tatiana; Majid, Shahn
2007
Bicrossproduct approach to the Connes-Moscovici Hopf algebra. Zbl 1125.16026
2007
Algebraic approach to quantum gravity. III: Non-commutative Riemannian geometry. Zbl 1120.83033
Majid, S.
2007
Semiclassical differential structures. Zbl 1110.58002
Beggs, Edwin J.; Majid, Shahn
2006
Noncommutative Riemannian and spin geometry of the standard $$q$$-sphere. Zbl 1075.58004
Majid, S.
2005
Noncommutative differentials and Yang-Mills on permutation groups $$S_n$$. Zbl 1076.58004
Majid, Shahn
2005
Gauge theory on nonassociative spaces. Zbl 1111.81101
Majid, S.
2005
Noncommutative model with spontaneous time generation and Planckian bound. Zbl 1111.81099
Majid, S.
2005
Classification of differentials on quantum doubles and finite noncommutative geometry. Zbl 1076.58003
Majid, Shahn
2005
Braided cyclic cocycles and nonassociative geometry. Zbl 1071.58006
Akrami, S. E.; Majid, S.
2004
On the Fock space for nonrelativistic anyon fields and braided tensor products. Zbl 1071.81065
Goldin, Gerald A.; Majid, Shahn
2004
Cartan calculus for quantum differentials on bicrossproducts. Zbl 1064.58007
Ngakeu, F.; Majid, S.; Ezin, J.-P.
2004
Moduli of quantum Riemannian geometries on $$\leq4$$ points. Zbl 1064.58006
Majid, S.; Raineri, E.
2004
Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras. Zbl 1018.17009
Gomez, X.; Majid, S.
2003
Noncommutative geometry of angular momentum space $$U(\mathfrak{su}(2))$$. Zbl 1061.81040
Batista, Eliezer; Majid, Shahn
2003
Noncommutative Ricci curvature and Dirac operator on $$\mathbb C_q[{\text SL}_2]$$ at roots of unity. Zbl 1020.58007
Majid, Shahn
2003
A quantum groups primer. Zbl 1037.17014
Majid, Shahn
2002
Clifford algebras obtained by twisting of group algebras. Zbl 1054.15024
Albuquerque, Helena; Majid, Shahn
2002
Riemannian geometry of quantum groups and finite groups with nonuniversal differentials. Zbl 0999.58004
Majid, Shahn
2002
Electromagnetism and gauge theory on the permutation group $$S_{3}$$. Zbl 1041.81068
Majid, Shahn; Raineri, E.
2002
Noncommutative Riemannian geometry of the alternating group $${\mathcal A}_{4}$$. Zbl 1010.58001
Ngakeu, F.; Majid, S.; Lambert, D.
2002
Noncommutative cohomology and electromagnetism on $${\mathbb C}_q[SL_2]$$ at roots of unity. Zbl 1004.58003
Gomez, Xavier; Majid, Shahn
2002
$$\mathbb Z_2 \times \mathbb Z_2$$ lattice as a Connes-Lott-quantum group model. Zbl 1009.81030
Majid, Shahn; Schücker, Thomas
2002
Poisson-Lie $$T$$-duality for quasitriangular Lie bialgebras. Zbl 0987.81091
Beggs, E. J.; Majid, Shahn
2001
Quantum geometry of algebra factorisations and coalgebra bundles. Zbl 0979.58002
Brzeziński, Tomasz; Majid, Shahn
2000
Waves on noncommutative space-time and gamma-ray bursts. Zbl 0986.81050
Amelino-Camelia, Giovanni; Majid, Shahn
2000
Meaning of noncommutative geometry and the Planck-scale quantum group. Zbl 1024.81047
Majid, Shahn
2000
Quantum groups and noncommutative geometry. Zbl 0974.58005
Majid, Shahn
2000
Braided-Lie bialgebras. Zbl 1017.17019
Majid, Shahn
2000
Conceptual issues for noncommutative gravity on algebras and finite sets. Zbl 1073.83510
Majid, Shahn
2000
New approach to octonions and Cayley algebras. Zbl 1006.17500
Albuquerque, Helena; Majid, Shahn
2000
Quasialgebra structure of the octonions. Zbl 0999.17006
Albuquerque, Helena; Majid, Shahn
1999
Double-bosonization of braided groups and the construction of $$U_q(g)$$. Zbl 0974.17018
Majid, S.
1999
Projective module description of the $$q$$-monopole. Zbl 0936.46052
Hajac, Piotr M.; Majid, Shahn
1999
Twisting of quantum differentials and the Planck scale Hopf algebra. Zbl 0939.58007
Majid, Shahn; Oeckl, Robert
1999
Quantum and braided group Riemannian geometry. Zbl 0940.58004
Majid, Shahn
1999
Quasitriangular and differential structures on bicrossproduct Hopf algebras. Zbl 0942.16035
Beggs, Edwin; Majid, Shahn
1999
Quantum geometry of field extensions. Zbl 0977.58002
Majid, Shahn
1999
$$\mathbb{Z}_n$$-quasialgebras. Zbl 1041.17501
Albuquerque, Helena; Majid, Shahn
1999
Diagrammatics of braided group gauge theory. Zbl 0937.58005
Majid, Shahn
1999
Coalgebra bundles. Zbl 0899.55016
Brzeziński, Tomasz; Majid, Shahn
1998
Quantum double for quasi-Hopf algebras. Zbl 0940.16018
Majid, S.
1998
Quantum differentials and the $$q$$-monopole revisited. Zbl 0946.58005
Brzeziński, Tomasz; Majid, Shahn
1998
Classification of bicovariant differential calculi. Zbl 0952.17012
Majid, S.
1998
Line bundles on quantum spheres. Zbl 0976.58003
Brzeziński, Tomasz; Majid, Shahn
1998
Quantum and braided diffeomorphism groups. Zbl 1050.58005
Majid, Shahn
1998
Some remarks on braided group reconstruction and braided doubles. Zbl 0948.16030
Majid, S.
1998
Quasi-$$*$$ structure on $$q$$-Poincaré algebras. Zbl 0882.16025
Majid, S.
1997
New quantum groups by double-bosonisation. Zbl 0942.17004
Majid, S.
1997
Some comments on bosonisation and biproducts. Zbl 0948.16027
Majid, S.
1997
Some remarks on quantum and braided group gauge theory. Zbl 0884.58014
Majid, Shahn
1997
Bicross-product structure of affine quantum groups. Zbl 0874.17014
Majid, S.
1997
Finite group factorizations and braiding. Zbl 0856.17007
Beggs, E. J.; Gould, J. D.; Majid, S.
1996
Glueing operation for $$R$$-matrices, quantum groups and link-invariants of Hecke type. Zbl 0859.17007
Majid, Shahn; Markl, Martin
1996
Introduction to braided geometry and $$q$$-Minkowski space. Zbl 0873.17015
Majid, S.
1996
Braided geometry of the conformal algebra. Zbl 0879.46043
Majid, Shahn
1996
Foundations of quantum group theory. Zbl 0857.17009
Majid, Shahn
1995
Erratum: Quantum group gauge theory on quantum spaces. Zbl 0823.58006
Brzeziński, T.; Majid, Shahn
1995
Solutions of the Yang-Baxter equations from braided-Lie algebras and braided groups. Zbl 0856.17014
Majid, Shahn
1995
$$*$$-structures on braided spaces. Zbl 0844.46048
Majid, S.
1995
$$q$$-epsilon tensor for quantum and braided spaces. Zbl 0833.17018
Majid, S.
1995
Nonstandard quantum groups and superization. Zbl 0856.17015
Majid, Shahn; Rodríguez-Plaza, M. J.
1995
Some remarks on the $$q$$-Poincaré algebra in $$R$$-matrix form. Zbl 0942.81576
Majid, S.
1995
Bicrossproduct structure of $$\kappa$$-Poincaré group and non-commutative geometry. Zbl 1112.81328
Majid, S.; Ruegg, H.
1994
Cross products by braided groups and bosonization. Zbl 0807.16036
Majid, Shahn
1994
...and 54 more Documents
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#### Cited by 1,433 Authors

 81 Majid, Shahn 40 Brzeziński, Tomasz 28 Bulacu, Daniel 28 Fernández Vilaboa, José Manuel 28 Wang, Shuanhong 27 Alonso Álvarez, José Nicanor 27 González Rodríguez, Ramón 26 Meljanac, Stjepan 24 Caenepeel, Stefaan 24 Panaite, Florin 22 Chen, Huixiang 22 Militaru, Gigel 21 Beggs, Edwin J. 21 Landi, Giovanni 20 van Oystaeyen, Freddy 19 Amelino-Camelia, Giovanni 19 Zhang, Yinhuo 17 Andruskiewitsch, Nicolás 17 Ardizzoni, Alessandro 17 Gurevich, Dmitrii 15 Agore, Ana-Loredana 15 Lukierski, Jerzy 14 Torrecillas Jover, Blas 13 Radford, David E. 13 Schauenburg, Peter 12 Herranz, Francisco José 12 Huang, Hua-Lin 12 Menini, Claudia 11 Böhm, Gabriella 11 Borowiec, Andrzej Zdzisław 11 Cedó, Ferran 11 Jurić, Tajron 11 Liu, Gongxiang 11 Vendramin, Leandro 10 Albuquerque, Helena 10 Ballesteros, Angel 10 Dabrowski, Ludwik 10 Delvaux, Lydia 10 Hajac, Piotr M. 10 Jiao, Zhengming 10 Kowalski-Glikman, Jerzy 10 Ma, Tianshui 10 Natale, Sonia 10 Saponov, Pavel A. 10 Ştefan, Dragoş 10 Sütlü, Serkan 9 Arzano, Michele 9 Bai, Chengming 9 Donin, Joseph 9 Gateva-Ivanova, Tatiana 9 Jespers, Eric 9 Nichita, Florin Felix 9 Sitarz, Andrzej 9 Soneira Calvo, Carlos 9 Štrajn, Rina 9 Szabo, Richard J. 9 Van Daele, Alfons 8 Daszkiewicz, Marcin 8 Fatollahi, Amir H. 8 Fiore, Gaetano 8 Hu, Naihong 8 Majid, Shakir 8 Masuoka, Akira 8 Rangipour, Bahram 8 Runkel, Ingo 8 Samsarov, Andjelo 8 Semikhatov, Alexei M. 8 Zampini, Alessandro 7 D’Andrea, Francesco 7 Heckenberger, István 7 Kempf, Achim 7 Krešić-Jurić, Saša 7 Ng, Siu-Hung 7 Pachol, Anna 7 Rodríguez Raposo, Ana Belén 7 Schenkel, Alexander 7 Schneider, Hans-Jürgen 7 Shimizu, Kenichi 7 Westreich, Sara 7 Yang, Yuping 7 Zhu, Haixing 6 Agostini, Alessandra 6 Beattie, Margaret 6 Carnovale, Giovanna 6 Cohen, Miriam 6 De Commer, Kenny 6 Fuchs, Jürgen 6 Khorrami, Mohammad 6 Lyubashenko, Volodymyr V. 6 Meljanac, Daniel 6 Mudrov, Andrey I. 6 Neshveyev, Sergey V. 6 Okniński, Jan 6 Pérez-Izquierdo, José María 6 Schweigert, Christoph 6 Smoktunowicz, Agata 6 Szymański, Wojciech 6 Tuset, Lars 6 Vay, Cristian 6 Wisbauer, Robert ...and 1,333 more Authors
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#### Cited in 189 Serials

 179 Journal of Algebra 165 Journal of Mathematical Physics 127 Communications in Algebra 89 Communications in Mathematical Physics 80 Journal of Geometry and Physics 75 Journal of Pure and Applied Algebra 59 Advances in Mathematics 46 Letters in Mathematical Physics 42 Algebras and Representation Theory 39 Journal of High Energy Physics 33 International Journal of Modern Physics A 31 Modern Physics Letters A 27 Physics Letters. B 22 Nuclear Physics. B 22 Transactions of the American Mathematical Society 21 Applied Categorical Structures 21 Journal of Algebra and its Applications 20 Israel Journal of Mathematics 20 International Journal of Geometric Methods in Modern Physics 18 Journal of Noncommutative Geometry 16 Reports on Mathematical Physics 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 Reviews in Mathematical Physics 15 Advances in Applied Clifford Algebras 13 International Journal of Modern Physics D 13 The European Physical Journal C. Particles and Fields 12 Proceedings of the American Mathematical Society 11 Selecta Mathematica. New Series 10 International Journal of Theoretical Physics 9 General Relativity and Gravitation 9 Theoretical and Mathematical Physics 8 Physics Letters. A 8 Journal of Functional Analysis 8 Linear Algebra and its Applications 8 Acta Mathematica Sinica. English Series 8 Foundations of Physics 7 Acta Applicandae Mathematicae 7 Annals of Physics 7 Theory and Applications of Categories 7 Frontiers of Mathematics in China 7 Advances in High Energy Physics 7 Axioms 6 Duke Mathematical Journal 6 Science in China. Series A 6 International Journal of Mathematics 6 Communications in Contemporary Mathematics 6 Journal of Nonlinear Mathematical Physics 6 Science China. Mathematics 5 Bulletin of the Australian Mathematical Society 5 Glasgow Mathematical Journal 5 Journal of Knot Theory and its Ramifications 5 Algebra Colloquium 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Physics A: Mathematical and Theoretical 4 International Journal of Modern Physics B 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Chaos, Solitons and Fractals 4 Compositio Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Zeitschrift 4 Journal of Mathematical Sciences (New York) 4 Transformation Groups 4 Czechoslovak Journal of Physics 4 Algebraic & Geometric Topology 3 Linear and Multilinear Algebra 3 Mathematical Notes 3 Czechoslovak Mathematical Journal 3 Demonstratio Mathematica 3 Mathematische Nachrichten 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Advances in Applied Mathematics 3 $$K$$-Theory 3 Differential Geometry and its Applications 3 MSCS. Mathematical Structures in Computer Science 3 Russian Journal of Mathematical Physics 3 St. Petersburg Mathematical Journal 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Physical Review Letters 3 Physical Review D. Series III 3 Journal of $$K$$-Theory 3 São Paulo Journal of Mathematical Sciences 3 Bulletin of Mathematical Sciences 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Monatshefte für Mathematik 2 Chinese Annals of Mathematics. Series B 2 Annals of Pure and Applied Logic 2 Discrete & Computational Geometry 2 Forum Mathematicum 2 International Journal of Algebra and Computation 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Chinese Science Bulletin 2 Journal of Algebraic Combinatorics ...and 89 more Serials
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#### Cited in 53 Fields

 916 Associative rings and algebras (16-XX) 647 Quantum theory (81-XX) 575 Nonassociative rings and algebras (17-XX) 324 Category theory; homological algebra (18-XX) 215 Global analysis, analysis on manifolds (58-XX) 213 Functional analysis (46-XX) 154 Relativity and gravitational theory (83-XX) 137 Group theory and generalizations (20-XX) 110 Differential geometry (53-XX) 74 Manifolds and cell complexes (57-XX) 58 Algebraic geometry (14-XX) 50 Topological groups, Lie groups (22-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Number theory (11-XX) 28 Combinatorics (05-XX) 28 $$K$$-theory (19-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Mechanics of particles and systems (70-XX) 17 Operator theory (47-XX) 17 Algebraic topology (55-XX) 13 Special functions (33-XX) 13 Partial differential equations (35-XX) 12 Probability theory and stochastic processes (60-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Abstract harmonic analysis (43-XX) 8 Computer science (68-XX) 7 Commutative algebra (13-XX) 6 Mathematical logic and foundations (03-XX) 6 General algebraic systems (08-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 5 Ordinary differential equations (34-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Systems theory; control (93-XX)

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