2008Dissertationes MathematicaeOpen access

Calculus on Lie algebroids, Lie groupoids and Poisson manifolds

Charles-Michel Marle

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Abstract

We begin with a short presentation of the basic concepts related to Lie groupoids and Lie algebroids, but the main part of this paper deals with Lie algebroids. A Lie algebroid over a manifold is a vector bundle over that manifold whose properties are ver

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What this paper is about

We begin with a short presentation of the basic concepts related to Lie groupoids and Lie algebroids, but the main part of this paper deals with Lie algebroids. A Lie algebroid over a manifold is a vector bundle over that manifold whose properties are ver

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Available abstract

We begin with a short presentation of the basic concepts related to Lie groupoids and Lie algebroids, but the main part of this paper deals with Lie algebroids. A Lie algebroid over a manifold is a vector bundle over that manifold whose properties are ver

Key concepts: Mathematics, Lie algebroid, Pure mathematics, Lie theory, Poisson distribution, Algebra over a field, Calculus (dental), Adjoint representation of a Lie algebra

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