REDUCTION OF LIE ALGEBROID STRUCTURES-Reference-Cited by-同舟云学术

REDUCTION OF LIE ALGEBROID STRUCTURES

Published:2005-10 Issue:05 Volume:02 Page:965-991
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

CARIÑENA JOSÉ F.¹,NUNES DA COSTA JOANA M.²,SANTOS PATRÍCIA³

Affiliation:

1. Departamento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain

2. Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal

3. Departamento de Física e Matemática, Instituto Superior de Engenharia de Coimbra, 3030-199 Coimbra, Portugal

Abstract

Based on the ideas of Marsden–Ratiu, a reduction method for Lie algebroids is developed in such a way that the canonical projection onto the reduced Lie algebroid is a homomorphism of Lie algebroids. A relation between Poisson reduction and Lie algebroid reduction is established. Reduction of Lie algebroids with symmetry is also studied using this method.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887805000909

Reference25 articles.

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