Quasigraded Lie Algebras and Modified Toda Field Equations
We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix L...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146184 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quasigraded Lie Algebras and Modified Toda Field Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 29 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862571663103623168 |
|---|---|
| author | Skrypnyk, T.V. |
| author_facet | Skrypnyk, T.V. |
| citation_txt | Quasigraded Lie Algebras and Modified Toda Field Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 29 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.
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| first_indexed | 2025-11-26T05:07:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146184 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T05:07:29Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Skrypnyk, T.V. 2019-02-07T20:35:44Z 2019-02-07T20:35:44Z 2006 Quasigraded Lie Algebras and Modified Toda Field Equations / T.V. Skrypnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 29 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K05; 37K30 https://nasplib.isofts.kiev.ua/handle/123456789/146184 We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g. Author is grateful to P. Holod, S. Zykov and M. Pavlov for discussions. The research was supported by INTAS YS Fellowship Nr 03-55-2233 and by the French-Ukrainian project “Dnipro”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quasigraded Lie Algebras and Modified Toda Field Equations Article published earlier |
| spellingShingle | Quasigraded Lie Algebras and Modified Toda Field Equations Skrypnyk, T.V. |
| title | Quasigraded Lie Algebras and Modified Toda Field Equations |
| title_full | Quasigraded Lie Algebras and Modified Toda Field Equations |
| title_fullStr | Quasigraded Lie Algebras and Modified Toda Field Equations |
| title_full_unstemmed | Quasigraded Lie Algebras and Modified Toda Field Equations |
| title_short | Quasigraded Lie Algebras and Modified Toda Field Equations |
| title_sort | quasigraded lie algebras and modified toda field equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146184 |
| work_keys_str_mv | AT skrypnyktv quasigradedliealgebrasandmodifiedtodafieldequations |