A new quasitriangular Hopf algebra as the nontrivial quantum double of a simplest C algebra and its universal R matrix for Yang–Baxter equation

DOI10.1063/1.530196zbMATH Open0774.17023OpenAlexW2019706560MaRDI QIDQ4201788

Chang-Pu Sun, Molin Ge, Xufeng Liu

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530196

zbMATH Keywords

quantum Yang-Baxter equationquantum doublequasitriangular Hopf algebrauniversal \(R\) 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)

Cites Work

• q-Weyl group and a multiplicative formula for universal R-matrices
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• Construction of a new quantum double and new solutions to the Yang-Baxter equation

Related Items (3)

On quantization of \(Z_ 2\)-graded algebras ⋮ Maximally extended \({\mathfrak{sl}}(2|2)\) as a quantum double ⋮ Exotic quantum double, its universal R matrix, and their representations

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