Odesskii, Alexander
(2003)
*Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions.*
Moscow Mathematical Journal, 3 (1).
pp. 97-103.
ISSN 1609-4514

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Official URL: http://www.ams.org/distribution/mmj/vol3-1-2003/co...

## Abstract

New set-theoretical solutions to the Yang—Baxter Relation are constructed. These solutions arise from the decompositions ``in different order'' of matrix polynomials and θ-functions. We also construct a ``local action of the symmetric group'' in these cases, generalizations of the action of the symmetric group SN given by the set-theoretical solution.

Item Type: | Article |
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Uncontrolled Keywords: | Yang—Baxter relation, set-theoretical solution, local action of the symmetric group, matrix polynomials, matrix θ-functions. |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 81 Quantum theory |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 18 Aug 2006 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/562 |

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