Representations of Two-Colour BWM Algebras and Solvable Lattice Models
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
Many of the known solutions of the Yang-Baxter equation, which are related to solvable lattice models of vertex- and IRF-type, yield representations of the Birman-Wenzl-Murakami algebra. From these, representations of a two-colour generalization of the Birman-Wenzl-Murakami algebra can be constructed, which in turn are used to derive trigonometric solutions to the Yang-Baxter equation. In spirit, this construction resembles the fusion procedure, in the sense that starting from known solutions of the Yang-Baxter equation new solutions can be obtained.
Keywords
Cite
@article{arxiv.solv-int/9612001,
title = {Representations of Two-Colour BWM Algebras and Solvable Lattice Models},
author = {Uwe Grimm},
journal= {arXiv preprint arXiv:solv-int/9612001},
year = {2008}
}
Comments
6 pages, LaTeX, heron2e.sty (included), Poster presented at GROUP21