Quantised affine algebras and parameter-dependent R-matrices

DOI10.1017/S0004972700014040zbMath0840.17011OpenAlexW2025771889MaRDI QIDQ4837621

A. J. Bracken, Mark D. Gould, Yao-Zhong Zhang

Publication date: 17 March 1996

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700014040

zbMATH Keywords

Yang-Baxter equationquantum affine algebrasuniversal \(R\)-matrixGelfand-Tsetlin vectors

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (12)

On the universal \(R\)-matrix of \(U_ q\widehat{sl}_ 2\) at roots of unity ⋮ Universal integrability objects ⋮ Khoroshkin-Tolstoy approach to quantum superalgebras ⋮ Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras ⋮ Quantum groups and functional relations for arbitrary rank ⋮ Quantum groups and functional relations for lower rank ⋮ \( \ell \)-weights and factorization of transfer operators ⋮ Oscillator versus prefundamental representations ⋮ Vertex models and spin chains in formulas and pictures ⋮ Reduced qKZ equation: general case ⋮ Reduced qKZ equation and genuine qKZ equation ⋮ Universal R-matrix and functional relations

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