Baxterization of the \(R\)-matrix for the adjoint representation of \(U_ q[D(2,1; {\alpha{}})]\)

DOI10.1007/BF00739589zbMath0771.17014OpenAlexW2016271753MaRDI QIDQ1803230

J. R. Links, Mark D. Gould, Ioannis Tsohantjis

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf00739589

zbMATH Keywords

Yang-Baxter equationspectral parameterquantum supergroupbraid group representation\(\mathbb{Z}_ 2\)-graded quasi-triangular Hopf algebrasupersymmetric lattice models

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

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• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• Classical and quantum conformal field theory
• Universal \(R\)-matrix for quantized (super)algebras
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• Graded representations of the Temperley–Lieb algebra, quantum supergroups, and the Jones polynomial
• Universal R matrices and invariants of quantum supergroups
• Lie superalgebras

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