Quantum deformation of classical groups

DOI10.2977/prims/1195168856zbMath0806.16040OpenAlexW2037182182MaRDI QIDQ1318879

Takahiro Hayashi

Publication date: 15 February 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195168856

zbMATH Keywords

group-like elementsLie groupYang-Baxter equationquantum matrix bialgebrascoordinate algebrauniversal \(R\)-matrixquantum deformationone-parameter family of Hopf algebrasPeter-Weyl decompositions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie groups to the sciences; explicit representations (22E70) (S)-matrix theory, etc. in quantum theory (81U20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Deformations of associative rings (16S80) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

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