2006.343: Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions
2006.343: Alexander Odesskii (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
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 99 Kb |
Official URL: http://www.ams.org/distribution/mmj/vol3-1-2003/cont3-1-2003.html
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 2000 > 81 Quantum theory |
| MIMS number: | 2006.343 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 18 August 2006 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item