On Lie Algebroids and Poisson Algebras
classification
🧮 math.DG
math-phmath.MP
keywords
algebroidspoissonalgebrasalgebroidassociatedclassclassificationconnections
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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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