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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| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146184 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146184 |
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dspace |
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irk-123456789-1461842019-02-08T01:24:03Z Quasigraded Lie Algebras and Modified Toda Field Equations Skrypnyk, T.V. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146184 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Skrypnyk, T.V. |
| spellingShingle |
Skrypnyk, T.V. Quasigraded Lie Algebras and Modified Toda Field Equations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Skrypnyk, T.V. |
| author_sort |
Skrypnyk, T.V. |
| title |
Quasigraded Lie Algebras and Modified Toda Field Equations |
| title_short |
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_sort |
quasigraded lie algebras and modified toda field equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146184 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT skrypnyktv quasigradedliealgebrasandmodifiedtodafieldequations |
| first_indexed |
2023-05-20T17:24:03Z |
| last_indexed |
2023-05-20T17:24:03Z |
| _version_ |
1796153208691752960 |