On the addition of quantum matrices

DOI10.1063/1.530527zbMath0812.17015arXivhep-th/9308148OpenAlexW2019009552MaRDI QIDQ4314242

Shahn Majid

Publication date: 15 May 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9308148

zbMATH Keywords

quantum groups\(R\)-matrixrectangular matricesbraided tensor productquantum differential calculusHecke conditionquantum Yang- Baxter equationbialgebra of quantum functionslattice approximation of Kac-Moody algebras

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) Noncommutative differential geometry (46L87)

Related Items (4)

Quasi-\(*\) structure on \(q\)-Poincaré algebras ⋮ q-epsilon tensor for quantum and braided spaces ⋮ Algebraic q-integration and Fourier theory on quantum and braided spaces ⋮ q-Euclidean space and quantum Wick rotation by twisting

Cites Work

• Braided groups and algebraic quantum field theories
• Hidden quantum groups inside Kac-Moody algebras
• Quantum group-symmetric Fock spaces with Bargmann-Fock representation
• Braided groups
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Examples of braided groups and braided matrices
• Braided momentum in the q-Poincaré group
• Quantum and braided linear algebra
• Free braided differential calculus, braided binomial theorem, and the braided exponential map

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