On Lie Algebroids and Poisson Algebras

Details On Lie Algebroids and Poisson Algebras On Lie Algebroids and Poisson Algebras

2011-06-08

arxiv.org/abs/1106.1512v2

SIGMA 8 (2012), 006, 14 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2012.006

We introduce and study a class of Lie algebroids associated to faithful
modules which is motivated by the notion of cotangent Lie algebroids of Poisson
manifolds. We also give a classification of transitive Lie algebroids and
describe Poisson algebras by using the notions of algebroid and Lie
connections.

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