Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the generality of the theory.
Збережено в:
| Дата: | 2007 |
|---|---|
| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147814 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group / D. Iglesias, J.C. Marrero, D. Martín de Diego, E. Martínez, E. Padrón // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ. |
Репозитарії
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irk-123456789-147814 |
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irk-123456789-1478142019-02-17T01:24:25Z Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the generality of the theory. 2007 Article Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group / D. Iglesias, J.C. Marrero, D. Martín de Diego, E. Martínez, E. Padrón // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53D20; 58F05; 70H05 http://dspace.nbuv.gov.ua/handle/123456789/147814 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 describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the generality of the theory. |
| format |
Article |
| author |
Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. |
| spellingShingle |
Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. |
| author_sort |
Iglesias, D. |
| title |
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group |
| title_short |
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group |
| title_full |
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group |
| title_fullStr |
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group |
| title_full_unstemmed |
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group |
| title_sort |
reduction of symplectic lie algebroids by a lie subalgebroid and a symmetry lie group |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147814 |
| citation_txt |
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group / D. Iglesias, J.C. Marrero, D. Martín de Diego, E. Martínez, E. Padrón // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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