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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Дата: | 2017 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2017
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148612 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Drinfeld J Presentation of Twisted Yangians / S. Belliard, V. Regelskis // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 48 назв. — англ. |
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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 |
_version_ |
1796153423326871552 |