dorsal/arxiv
View SchemaRepresentations of Two-Colour BWM Algebras and Solvable Lattice Models
| Authors | Uwe Grimm |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9612001 |
| URL | https://arxiv.org/abs/solv-int/9612001 |
| Journal | 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 |
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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"abstract": "Many of the known solutions of the Yang-Baxter equation, which are related to\nsolvable lattice models of vertex- and IRF-type, yield representations of the\nBirman-Wenzl-Murakami algebra. From these, representations of a two-colour\ngeneralization of the Birman-Wenzl-Murakami algebra can be constructed, which\nin turn are used to derive trigonometric solutions to the Yang-Baxter equation.\nIn spirit, this construction resembles the fusion procedure, in the sense that\nstarting from known solutions of the Yang-Baxter equation new solutions can be\nobtained.",
"arxiv_id": "solv-int/9612001",
"authors": [
"Uwe Grimm"
],
"categories": [
"solv-int",
"nlin.SI"
],
"journal_ref": "Proceedings of the Quantum Group Symposium at the XXI\n International Colloquium on Group Theoretical Methods in Physics, edited by\n H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia (1997), pp. 114-119",
"title": "Representations of Two-Colour BWM Algebras and Solvable Lattice Models",
"url": "https://arxiv.org/abs/solv-int/9612001"
},
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