Representations of Two-Colour BWM Algebras and Solvable Lattice Models

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

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/153847

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9612001
 http://arxiv.org/abs/solv-int/9612001
 Proceedings of the Quantum Group Symposium at the XXI International Colloquium on Group Theoretical Methods in Physics, edited by H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia (1997), pp. 114-119

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