Quantum matrices in two dimensions

DOI10.1007/BF00405605zbMath0754.17012MaRDI QIDQ1181262

H. Ewen, Julius Wess, O. V. Ogievetskij

Publication date: 27 June 1992

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum groupsquantum spaces

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

κ-DEFORMED POINCARÉ ALGEBRAS AND QUANTUM CLIFFORD–HOPF ALGEBRAS, Algebraic properties of Manin matrices. I, Powers of 2 × 2 quantum matrices, The isolated quantum group of the \(\mathrm{GL}_2\) family, Quantum matrix algebras of BMW type: structure of the characteristic subalgebra, Quantized braided groups, Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$, Gauss decomposition and nonstandard deformation of \(\mathrm{GL}(1|1)\), Poincaré series of quantum matrix bialgebras determined by a pair of quantum spaces, Quantum groups of \(\mathrm{GL}(2)\) representation type., Cayley-Hamilton theorem for symplectic quantum matrix algebras, Two-parametric extension of h-deformation of Gr(1|1), The dual of a quantum group, Jordanian solutions of simplex equations, \(h\)-deformation of GL\((1| 1)\), Quantum matrix algebras of the \(\text{GL}(m|n)\) type: the structure and spectral parameterization of the characteristic subalgebra, Symplecton for Uh(sl(2)) and representations of SLh(2)

Cites Work

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• Multiparametric quantum deformation of the general linear supergroup
• Some aspects of quantum groups and supergroups
• Analysis of the basic matrix representation ofGL q(2,C)
• Relations betweenGL p,q (2)'s