Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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dc.contributor.author	Iglesias, D.
dc.contributor.author	Marrero, J.C.
dc.contributor.author	Martín de Diego, D.
dc.contributor.author	Martínez, E.
dc.contributor.author	Padrón, E.
dc.date.accessioned	2019-02-16T08:39:53Z
dc.date.available	2019-02-16T08:39:53Z
dc.date.issued	2007
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 53D20; 58F05; 70H05
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147814
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA