Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types
We consider relations between Gauss coordinates of -operators for the Yangian doubles of the classical types corresponding to the algebras of , , , and series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211000 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types. Andrii Liashyk and Stanislav Z. Pakuliak. SIGMA 16 (2020), 120, 23 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862638412311298048 |
|---|---|
| author | Liashyk, Andrii Pakuliak, Stanislav Z. |
| author_facet | Liashyk, Andrii Pakuliak, Stanislav Z. |
| citation_txt | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types. Andrii Liashyk and Stanislav Z. Pakuliak. SIGMA 16 (2020), 120, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider relations between Gauss coordinates of -operators for the Yangian doubles of the classical types corresponding to the algebras of , , , and series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related to -invariant -matrices and the construction of the Bethe vectors in these models.
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| first_indexed | 2026-03-15T02:29:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211000 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T02:29:51Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Liashyk, Andrii Pakuliak, Stanislav Z. 2025-12-22T09:20:00Z 2020 Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types. Andrii Liashyk and Stanislav Z. Pakuliak. SIGMA 16 (2020), 120, 23 pages 1815-0659 2020 Mathematics Subject Classification: 82B23; 81R12; 81R50; 17B80 arXiv:2006.01579 https://nasplib.isofts.kiev.ua/handle/123456789/211000 https://doi.org/10.3842/SIGMA.2020.120 We consider relations between Gauss coordinates of -operators for the Yangian doubles of the classical types corresponding to the algebras of , , , and series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related to -invariant -matrices and the construction of the Bethe vectors in these models. The work was performed at the Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow. This work is supported by the Russian Science Foundation under grant 19-11-00062. Authors thank E. Ragoucy and N.A. Slavnov for fruitful discussions. The authors are grateful to the anonymous referees for essential comments that allowed us to improve this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types Article published earlier |
| spellingShingle | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types Liashyk, Andrii Pakuliak, Stanislav Z. |
| title | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types |
| title_full | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types |
| title_fullStr | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types |
| title_full_unstemmed | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types |
| title_short | Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types |
| title_sort | gauss coordinates vs currents for the yangian doubles of the classical types |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211000 |
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