Quantum matrices in \(N\) dimensions

DOI10.1007/BF00672818zbMath0798.53070OpenAlexW2093852257MaRDI QIDQ1330117

Ki-Soo Chung, Won-Sang Chung, Chung-In Um, Sang-Tack Nam

Publication date: 15 August 1994

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672818

zbMATH Keywords

quantum matricescommutation relation\(q\)-deformed Levi-Civita symbol

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• Unnamed Item
• Compact matrix pseudogroups
• Multiparametric quantum deformation of the general linear supergroup
• Contraction rule of \(q\)-deformed Levi-Civita symbol
• Differential calculus on compact matrix pseudogroups (quantum groups)
• REMARKS ON DIFFERENTIAL CALCULI ON MANIN'S PLANE
• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• Two-dimensional quantum spaces corresponding to solutions of the Yang-Baxter equations
• Multiparameter R-matrices and their quantum groups
• Non-commutative differential calculus and q-analysis
• Hydrodynamical reductions of the lattice KP hierarchy
• Representations of quantum matrix algebra M q(2) and its q-boson realization

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