Trigonometric \(R\) matrices related to `dilute' Birman-Wenzl-Murakami algebra

DOI10.1007/BF00750661zbMath0823.22019arXivhep-th/9402094MaRDI QIDQ1338935

Uwe Grimm

Publication date: 14 December 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9402094

zbMATH Keywords

generatorsvertex modelsBirman-Wenzl-Murakami algebras\(R\)- matricesYang-Baxter relations

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) Braid groups; Artin groups (20F36) Applications of Lie groups to the sciences; explicit representations (22E70) Exactly solvable models; Bethe ansatz (82B23)

Related Items (5)

\(R\)-matrices and spectrum of vertex models based on superalgebras ⋮ On truncations of the Chalker-Coddington model ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ Algebraic construction of higher-rank dilute A models ⋮ Solvable RSOS models based on the dilute BWM algebra

Cites Work

• Quantum R matrix for the generalized Toda system
• BAXTERIZATION
• NEW SOLUTIONS OF YANG-BAXTER EQUATION AND NEW LINK POLYNOMIALS
• Multi-colour braid-monoid algebras
• Dilute Birman-Wenzl-Murakami algebra and D_n+1⁽²) models

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