On universal \(R\)-matrix for quantized nontwisted rank 3 affine KM algebras

DOI10.1007/BF00760855zbMath0795.17010arXivhep-th/9303095OpenAlexW2126887864MaRDI QIDQ1311005

Yao-Zhong Zhang, Mark D. Gould

Publication date: 25 September 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9303095

zbMATH Keywords

universal \(R\)-matrixquantized affine Lie algebra

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) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (4)

Quantum affine algebras and universal \(R\)-matrix with spectral parameter ⋮ Quantised affine algebras and parameter-dependent R-matrices ⋮ On the construction of trigonometric solutions of the Yang-Baxter equation ⋮ Quantized affine Lie algebras and diagonalization of braid generators

Cites Work

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• Quantum group interpretation of some conformal field theories
• q-Weyl group and a multiplicative formula for universal R-matrices
• Infinite dimensional Lie algebras. An introduction
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Quantum field theory and the Jones polynomial
• Quantum group invariants and link polynomials
• Universal \(R\)-matrix for quantized (super)algebras
• Quantum R matrix for G₂and a solvable 175-vertex model

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