Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures

This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplectic cover of a fiberwise linear Poisson structure, whose reduction process is the analogue to cotangent bundle reduction...

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Bibliographic Details
Published in:arXiv.org 2012-04
Main Authors: Marrero, Juan Carlos, Padron, Edith, Rodriguez-Olmos, Miguel
Format: Article
Language:English
Subjects:
Reduction
Online Access:Get full text
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Summary:This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplectic cover of a fiberwise linear Poisson structure, whose reduction process is the analogue to cotangent bundle reduction in the context of Lie algebroids.
ISSN:2331-8422
DOI:10.48550/arxiv.1111.4696