Representations of Two-Colour BWM Algebras and Solvable Lattice Models

Details Representations of Two-Colour BWM Algebras and Solvable Lattice Models Representations of Two-Colour BWM Algebras and Solvable Lattice Models

1996-12-03

arxiv.org/abs/solv-int/9612001v1

Proceedings of the Quantum Group Symposium at the XXI International Colloquium on Group Theoretical Methods in Physics, edited

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, LaTeX, heron2e.sty (included), Poster presented at GROUP21

Scientific paper

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.

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