Lie Algebroid

The infinitesimal algebraic object associated with a Lie groupoid. A Lie algebroid over a manifold B is a vector bundle A over B with a Lie algebra structure [,] (Lie bracket) on its space of smooth sections together with its anchor rho.

See also

Lie Algebra

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Weinstein, A. "Groupoids: Unifying Internal and External Symmetry." Not. Amer. Math. Soc. 43, 744-752, 1996.

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Lie Algebroid

Cite this as:

Weisstein, Eric W. "Lie Algebroid." From MathWorld--A Wolfram Web Resource.

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