Construction of a new quantum double and new solutions to the Yang-Baxter equation

DOI10.1007/BF00402894zbMath0757.17013MaRDI QIDQ1196674

Xu-Feng Liu, Mo-Lin Ge

Publication date: 16 January 1993

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

zbMATH Keywords

quantum Yang-Baxter equationmatrix representationquantum doubleuniversal \(R\)-matrixquasitriangular Hopf algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (1)

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

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\(| 1)\)

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