From Twisted Quantum Loop Algebras to Twisted Yangians
We prove how the Yangian of glN in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147107 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | From Twisted Quantum Loop Algebras to Twisted Yangians / P. Conner, N. Guay // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747972463230976 |
|---|---|
| author | Conner, P. Guay, N. |
| author_facet | Conner, P. Guay, N. |
| citation_txt | From Twisted Quantum Loop Algebras to Twisted Yangians / P. Conner, N. Guay // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 32 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove how the Yangian of glN in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues.
|
| first_indexed | 2025-12-07T20:53:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147107 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:53:46Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Conner, P. Guay, N. 2019-02-13T16:32:04Z 2019-02-13T16:32:04Z 2015 From Twisted Quantum Loop Algebras to Twisted Yangians / P. Conner, N. Guay // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 16T20; 81R50 DOI:10.3842/SIGMA.2015.040 https://nasplib.isofts.kiev.ua/handle/123456789/147107 We prove how the Yangian of glN in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues. This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
 Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html.
 The research of N. Guay was supported by a Discovery Grant from the Natural Sciences and Engineering
 Research Council of Canada. P. Conner was supported by a Postgraduate Scholarship
 CGS-M from the same agency. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications From Twisted Quantum Loop Algebras to Twisted Yangians Article published earlier |
| spellingShingle | From Twisted Quantum Loop Algebras to Twisted Yangians Conner, P. Guay, N. |
| title | From Twisted Quantum Loop Algebras to Twisted Yangians |
| title_full | From Twisted Quantum Loop Algebras to Twisted Yangians |
| title_fullStr | From Twisted Quantum Loop Algebras to Twisted Yangians |
| title_full_unstemmed | From Twisted Quantum Loop Algebras to Twisted Yangians |
| title_short | From Twisted Quantum Loop Algebras to Twisted Yangians |
| title_sort | from twisted quantum loop algebras to twisted yangians |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147107 |
| work_keys_str_mv | AT connerp fromtwistedquantumloopalgebrastotwistedyangians AT guayn fromtwistedquantumloopalgebrastotwistedyangians |