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Drinfeld J Presentation of Twisted Yangians

Drinfeld J Presentation of Twisted Yangians

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-lo...

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Main Authors: Belliard, S., Regelskis, V.
Format: Article
Language:English
Published: Інститут математики НАН України 2017
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148612
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spelling irk-123456789-1486122019-02-19T01:25:27Z Drinfeld J Presentation of Twisted Yangians Belliard, S. Regelskis, V. 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. 2017 Article Drinfeld J Presentation of Twisted Yangians / S. Belliard, V. Regelskis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 48 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R10; 81R50; 17B37 DOI:10.3842/SIGMA.2017.011 http://dspace.nbuv.gov.ua/handle/123456789/148612 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Belliard, S.
Regelskis, V.
spellingShingle Belliard, S.
Regelskis, V.
Drinfeld J Presentation of Twisted Yangians
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Belliard, S.
Regelskis, V.
author_sort Belliard, S.
title Drinfeld J Presentation of Twisted Yangians
title_short Drinfeld J Presentation of Twisted Yangians
title_full Drinfeld J Presentation of Twisted Yangians
title_fullStr Drinfeld J Presentation of Twisted Yangians
title_full_unstemmed Drinfeld J Presentation of Twisted Yangians
title_sort drinfeld j presentation of twisted yangians
publisher Інститут математики НАН України
publishDate 2017
url http://dspace.nbuv.gov.ua/handle/123456789/148612
citation_txt Drinfeld J Presentation of Twisted Yangians / S. Belliard, V. Regelskis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 48 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT belliards drinfeldjpresentationoftwistedyangians
AT regelskisv drinfeldjpresentationoftwistedyangians
first_indexed 2023-05-20T17:29:45Z
last_indexed 2023-05-20T17:29:45Z
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