Proceedings of the International Conference on Geometry, Integrability and Quantization

A Note on Poisson Lie Algebroids

Liviu Popescu

Abstract

In this paper we study some properties of a Lie algebroid and its prolongation over the vector bundle projection of the dual bundle. We generalize some results on Poisson manifolds to the level of a Lie algebroid. The notions of canonical Poisson bivector and horizontal lift are studied and their compatibility conditions are pointed out.

Article information

Source
Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2009), 227-236

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436793447

Digital Object Identifier
doi:10.7546/giq-10-2009-227-236

Mathematical Reviews number (MathSciNet)
MR2757837

Zentralblatt MATH identifier
1226.53079

Citation

Popescu, Liviu. A Note on Poisson Lie Algebroids. Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, 227--236, Avangard Prima, Sofia, Bulgaria, 2009. doi:10.7546/giq-10-2009-227-236. https://projecteuclid.org/euclid.pgiq/1436793447


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