From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
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| Creator |
Chicherin, D.
Derkachov, S.E. Spiridonov, V.P. |
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| Description |
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.
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| Date |
2019-02-15T19:13:17Z
2019-02-15T19:13:17Z 2016 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 81R50; 82B23; 33D05 DOI:10.3842/SIGMA.2016.028 http://dspace.nbuv.gov.ua/handle/123456789/147757 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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