On Classical r-Matrix for the Kowalevski Gyrostat on so(4)
We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146437 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) / I.V. Komarov, A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706660292689920 |
|---|---|
| author | Komarov, I.V. Tsiganov, A.V. |
| author_facet | Komarov, I.V. Tsiganov, A.V. |
| citation_txt | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) / I.V. Komarov, A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).
|
| first_indexed | 2025-12-07T17:00:55Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146437 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:00:55Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Komarov, I.V. Tsiganov, A.V. 2019-02-09T17:03:19Z 2019-02-09T17:03:19Z 2006 On Classical r-Matrix for the Kowalevski Gyrostat on so(4) / I.V. Komarov, A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37J35; 70E40; 70G65 https://nasplib.isofts.kiev.ua/handle/123456789/146437 We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4). The authors thank E. Sklyanin and N. Reshetikhin for very useful conversations on the subject of this paper. I.V.K. wishes to thank the London Mathematical Society for support his visit to England and V.B. Kuznetsov for hospitality at the University of Leeds. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Classical r-Matrix for the Kowalevski Gyrostat on so(4) Article published earlier |
| spellingShingle | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) Komarov, I.V. Tsiganov, A.V. |
| title | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) |
| title_full | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) |
| title_fullStr | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) |
| title_full_unstemmed | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) |
| title_short | On Classical r-Matrix for the Kowalevski Gyrostat on so(4) |
| title_sort | on classical r-matrix for the kowalevski gyrostat on so(4) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146437 |
| work_keys_str_mv | AT komaroviv onclassicalrmatrixforthekowalevskigyrostatonso4 AT tsiganovav onclassicalrmatrixforthekowalevskigyrostatonso4 |