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
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References
Weinstein, A. "Groupoids: Unifying Internal and External Symmetry." Not. Amer. Math. Soc. 43, 744-752, 1996.Referenced on Wolfram|Alpha
Lie AlgebroidCite this as:
Weisstein, Eric W. "Lie Algebroid." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LieAlgebroid.html