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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• ISSN: 1815-0659
• Main Authors: Iglesias, D., Marrero, J.C., Martín de Diego, D., Martínez, E., Padrón, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147814
• 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.

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.