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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2017
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148612 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-148612 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Drinfeld J Presentation of Twisted Yangians |
| spellingShingle |
Drinfeld J Presentation of Twisted Yangians Belliard, S. Regelskis, V. |
| 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 |
| author |
Belliard, S. Regelskis, V. |
| author_facet |
Belliard, S. Regelskis, V. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT belliards drinfeldjpresentationoftwistedyangians AT regelskisv drinfeldjpresentationoftwistedyangians |
| first_indexed |
2025-11-28T17:34:24Z |
| last_indexed |
2025-11-28T17:34:24Z |
| _version_ |
1850854018172059649 |