Representations of Two-Colour BWM Algebras and Solvable Lattice Models

Uwe Grimm

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Representations of Two-Colour BWM Algebras and Solvable Lattice Models

Uwe Grimm

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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.

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Uwe Grimm. 1996-12-03. Representations of Two-Colour BWM Algebras and Solvable Lattice Models. https://arxiv.org/abs/solv-int/9612001

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