Sklyanin Determinant for Reflection Algebra
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of Sklyanin determinant suitable for explicit computations.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146530 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Sklyanin Determinant for Reflection Algebra / N. Rozhkovskaya // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146530 |
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Rozhkovskaya, N. 2019-02-09T20:05:00Z 2019-02-09T20:05:00Z 2010 Sklyanin Determinant for Reflection Algebra / N. Rozhkovskaya // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 05E10; 17B37 DOI:10.3842/SIGMA.2010.100 https://nasplib.isofts.kiev.ua/handle/123456789/146530 Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of Sklyanin determinant suitable for explicit computations. This paper is a contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2010.html. The author would like to thank A.I. Molev and the referees for valuable comments and suggestions that allowed to simplify significantly the formulas and to improve the text of the paper. The travel to RAQIS’10 was supported by AWM travel grant. The research is partially supported by KSU Mentoring fellowship for WMSE. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Sklyanin Determinant for Reflection Algebra Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Sklyanin Determinant for Reflection Algebra |
| spellingShingle |
Sklyanin Determinant for Reflection Algebra Rozhkovskaya, N. |
| title_short |
Sklyanin Determinant for Reflection Algebra |
| title_full |
Sklyanin Determinant for Reflection Algebra |
| title_fullStr |
Sklyanin Determinant for Reflection Algebra |
| title_full_unstemmed |
Sklyanin Determinant for Reflection Algebra |
| title_sort |
sklyanin determinant for reflection algebra |
| author |
Rozhkovskaya, N. |
| author_facet |
Rozhkovskaya, N. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of Sklyanin determinant suitable for explicit computations.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146530 |
| citation_txt |
Sklyanin Determinant for Reflection Algebra / N. Rozhkovskaya // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ. |
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2025-12-07T13:17:10Z |
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2025-12-07T13:17:10Z |
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1850855580250406912 |