Classical R-Operators and Integrable Generalizations of Thirring Equations
We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases connected with the Coxeter automorphisms, second order automo...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148995 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Classical R-Operators and Integrable Generalizations of Thirring Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730689737129984 |
|---|---|
| author | Skrypnyk, T.V. |
| author_facet | Skrypnyk, T.V. |
| citation_txt | Classical R-Operators and Integrable Generalizations of Thirring Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases connected with the Coxeter automorphisms, second order automorphisms and with ''Kostant-Adler-Symes'' R-operators. We recover a known matrix generalization of the complex Thirring equations as a partial case of our construction.
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| first_indexed | 2025-12-07T19:21:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148995 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:21:46Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Skrypnyk, T.V. 2019-02-19T12:49:16Z 2019-02-19T12:49:16Z 2008 Classical R-Operators and Integrable Generalizations of Thirring Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 15 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B70; 17B80; 37K10; 37K30; 70H06 https://nasplib.isofts.kiev.ua/handle/123456789/148995 We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases connected with the Coxeter automorphisms, second order automorphisms and with ''Kostant-Adler-Symes'' R-operators. We recover a known matrix generalization of the complex Thirring equations as a partial case of our construction. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). Author is grateful to Professors A. Mikhailov and P. Holod for attracting his attention to Thirring model and to M. Tsuchida for useful discussion. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Classical R-Operators and Integrable Generalizations of Thirring Equations Article published earlier |
| spellingShingle | Classical R-Operators and Integrable Generalizations of Thirring Equations Skrypnyk, T.V. |
| title | Classical R-Operators and Integrable Generalizations of Thirring Equations |
| title_full | Classical R-Operators and Integrable Generalizations of Thirring Equations |
| title_fullStr | Classical R-Operators and Integrable Generalizations of Thirring Equations |
| title_full_unstemmed | Classical R-Operators and Integrable Generalizations of Thirring Equations |
| title_short | Classical R-Operators and Integrable Generalizations of Thirring Equations |
| title_sort | classical r-operators and integrable generalizations of thirring equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148995 |
| work_keys_str_mv | AT skrypnyktv classicalroperatorsandintegrablegeneralizationsofthirringequations |