Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions

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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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
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:	https://eprints.maths.manchester.ac.uk/id/eprint/562

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