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періодичних видань НАН України
періодичних видань НАН України
From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Chicherin, D. | |
| dc.contributor.author | Derkachov, S.E. | |
| dc.contributor.author | Spiridonov, V.P. | |
| dc.date.accessioned | 2019-02-15T19:13:17Z | |
| dc.date.available | 2019-02-15T19:13:17Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation / D. Chicherin, S.E. Derkachov, V.P. Spiridonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 43 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81R50; 82B23; 33D05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.028 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147757 | |
| dc.description.abstract | We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of the group SL(2,C) or Faddeev's modular double. Then we describe its restriction to an irreducible finite-dimensional representation in one or both spaces. In this way we obtain very simple explicit formulas embracing rational and trigonometric finite-dimensional solutions of the Yang-Baxter equation. Finally, we construct these finite-dimensional solutions by means of the fusion procedure and find a nice agreement between two approaches. | uk_UA |
| dc.description.sponsorship | We thank the referees for useful remarks to the paper. This work is supported by the Russian Science Foundation (project no. 14-11-00598). | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
