The universal \(R\)-matrix and its associated quantum algebra as functionals of the classical \(r\)-matrix. The \(\mathrm{sl}_2\) case

DOI10.1016/0370-2693(92)91331-3zbMath1514.17015arXivhep-th/9210039MaRDI QIDQ6109245

Jean-Michel Maillet, Laurent Freidel

Publication date: 2 July 2023

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9210039

zbMATH Keywords

quantum Yang-Baxter equationquantum algebrauniversal quantum R-matrix

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) Yang-Baxter equations and Rota-Baxter operators (17B38)

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Cites Work

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• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Integrable quantum systems and classical Lie algebras
• Jimbo's q-analogues and current algebras
• On some unsolved problems in quantum group theory
• Integrable systems and gauge theories