Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
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dc.contributor.author	Belliard, S.
dc.contributor.author	Pakuliak, S.
dc.contributor.author	Ragoucy, E.
dc.contributor.author	Slavnov, N.A.
dc.date.accessioned	2019-02-21T07:05:43Z
dc.date.available	2019-02-21T07:05:43Z
dc.date.issued	2013
dc.identifier.citation	Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matri / S. Belliard, S. Pakuliak, E. Ragoucy, N.A. Slavnov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 26 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81R50; 17B80
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.058
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149345
dc.description.abstract	We study quantum integrable models with GL(3) trigonometric R-matrix and solvable by the nested algebraic Bethe ansatz. Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine algebra Uq(glˆ₃) onto intersections of different types of Borel subalgebras, we prove that the set of the nested Bethe vectors is closed under the action of the elements of the monodromy matrix.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. Work of S.P. was supported in part by RFBR grant 11-01-00980-a and grant of Scientific Foundation of NRU HSE 12-09-0064. E.R. was supported by ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). N.A.S. was supported by the Program of RAS Basic Problems of the Nonlinear Dynamics, RFBR-11-01-00440, SS-4612.2012.1.	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	Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA