Drinfeld J Presentation of Twisted Yangians

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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dc.contributor.author	Belliard, S.
dc.contributor.author	Regelskis, V.
dc.date.accessioned	2019-02-18T16:34:36Z
dc.date.available	2019-02-18T16:34:36Z
dc.date.issued	2017
dc.identifier.citation	Drinfeld J Presentation of Twisted Yangians / S. Belliard, V. Regelskis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 48 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81R10; 81R50; 17B37
dc.identifier.other	DOI:10.3842/SIGMA.2017.011
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148612
dc.description.abstract	We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for all symmetric pairs of simple Lie algebras and for simple twisted even half-loop Lie algebras. We provide the explicit form of the closure relations for twisted Yangians in Drinfeld J presentation for the sl3 Lie algebra.	uk_UA
dc.description.sponsorship	The authors would like to thank P. Baseilhac, N. Cramp´e, N. Guay, N. MacKay and J. Ohayon for discussions and their interest in this work. The authors also thank the anonymous referees for their valuable remarks and suggestions. V.R. acknowledges the UK EPSRC for the Postdoctoral Fellowship under grant EP/K031805/1. S.B. is supported by a public grant as part of the “Investissement d’avenir” project, reference ANR-11-LABX-0056-LMH, LabEx LMH.	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	Drinfeld J Presentation of Twisted Yangians	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA