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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148612 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862608500858814464 |
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| author | Belliard, S. Regelskis, V. |
| author_facet | Belliard, S. Regelskis, V. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-28T17:34:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148612 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T17:34:24Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Belliard, S. Regelskis, V. 2019-02-18T16:34:36Z 2019-02-18T16:34:36Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148612 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Drinfeld J Presentation of Twisted Yangians Article published earlier |
| spellingShingle | Drinfeld J Presentation of Twisted Yangians Belliard, S. Regelskis, V. |
| title | 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_short | Drinfeld J Presentation of Twisted Yangians |
| title_sort | drinfeld j presentation of twisted yangians |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148612 |
| work_keys_str_mv | AT belliards drinfeldjpresentationoftwistedyangians AT regelskisv drinfeldjpresentationoftwistedyangians |