Multi-colour braid-monoid algebras

DOI10.1088/0305-4470/26/24/018zbMath0832.17021arXivhep-th/9303161OpenAlexW2037300442MaRDI QIDQ4857035

Paul A. Pearce, Uwe Grimm

Publication date: 5 March 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9303161

zbMATH Keywords

Yang-Baxter algebraBaxterizationBirman-Wenzl-Murakami algebratwo-colour braid-monoid algebracritical dilute A-D-E modelstwo-dimensional exactly solvable 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) Braid groups; Artin groups (20F36) Exactly solvable models; Bethe ansatz (82B23)

Related Items (12)

Trigonometric \(R\) matrices related to `dilute' Birman-Wenzl-Murakami algebra ⋮ Associative-algebraic approach to logarithmic conformal field theories ⋮ The principal indecomposable modules of the dilute Temperley-Lieb algebra ⋮ Fusion hierarchies, T-systems and Y-systems for the dilute A2(2) loop models on a strip ⋮ Critical site percolation on the triangular lattice: from integrability to conformal partition functions ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ Fusion hierarchies, T-systems and Y-systems for the dilute $\boldsymbol{A_2^{(2)}}$ loop models ⋮ Uq(sln) web models and Zn spin interfaces ⋮ Algebraic construction of higher-rank dilute A models ⋮ Solvable RSOS models based on the dilute BWM algebra ⋮ Groundstate finite-size corrections and dilogarithm identities for the twisted A1(1) , A2(1) and A2(2) models ⋮ A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain

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