Solutions to the quantum Yang–Baxter equation for the exceptional Lie algebras with a spectral parameter

DOI10.1063/1.529167zbMath0751.17008OpenAlexW2019100511MaRDI QIDQ3987373

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Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529167

zbMATH Keywords

quantum Yang-Baxter equationspectral parametertrigonometric solutionsexceptional Lie algebras

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) Exceptional (super)algebras (17B25) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Unitary representations of the Virasoro and super-Virasoro algebras
• Quantum R matrix for the generalized Toda system
• Jimbo's q-analogues and current algebras
• Quantum field theory and the Jones polynomial
• Vertex representations of quantum affine algebras
• Quantum Ř matrix for E7 and F4 groups

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