RTT relations, a modified braid equation and noncommutative planes

DOI10.1063/1.1365952zbMath1005.58004arXivmath/0009178OpenAlexW3105323941MaRDI QIDQ2774923

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Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math/0009178

zbMATH Keywords

quantum matricessymmetry breakingbraid equationbiparametric deformationsmodified quantum Yang-Baxter equationsnoncommutatice geometries

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32)

Related Items (3)

Modified braid equations for SOq(3) and noncommutative spaces ⋮ Metrics on the real quantum plane ⋮ Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries

Cites Work

• Boundary solutions of the quantum Yang-Baxter equation and solutions in three dimensions
• The geometry of the quantum Euclidean space
• THE TWO-PARAMETRIC EXTENSION OF h DEFORMATION OF GL(2), AND THE DIFFERENTIAL CALCULUS ON ITS QUANTUM PLANE
• On combined standard–nonstandard or hybrid (q,h)-deformations
• SYMMETRIES RELATED TO YANG–BAXTER EQUATION AND REFLECTION EQUATIONS
• Non-commutative geometry of theh-deformed quantum plane
• Extended Jordanian twists for Lie algebras

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