Representations of Two-Colour BWM Algebras and Solvable Lattice Models
نویسنده
چکیده
Many of the known solutions of the Yang-Baxter equation, which are related to solvable lattice models of vertexand 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 YangBaxter 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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