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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147814 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745815628382208 |
|---|---|
| author | Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. |
| author_facet | Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T20:42:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147814 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:42:35Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Iglesias, D. Marrero, J.C. Martín de Diego, D. Martínez, E. Padrón, E. 2019-02-16T08:39:53Z 2019-02-16T08:39:53Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147814 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. This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). Supported in part by BFM2003-01319, MTM2006-03322, MTM2004-7832, S-0505/ESP/0158 of the CAM and BFM2003-02532. J.C. Marrero wishes to thank the organizers of the workshop Geometric Aspects of Integrable Systems (Coimbra, 2006) for their hospitality and their job in the organization. Finally, we also would like to thank the anonymous referees for the observations that have improved the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group Article published earlier |
| spellingShingle | 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. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147814 |
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