The infinitesimal algebraic object associated with a Lie groupoid. A Lie algebroid over a manifold 
is a vector bundle 
over 
with a Lie algebra structure
![[,]](/images/equations/LieAlgebroid/Inline4.svg)
(Lie bracket)
on its space of smooth sections together with its anchor 
.
Lie Algebroid
See also
Lie AlgebraExplore with Wolfram|Alpha
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 Web Resource. https://mathworld.wolfram.com/LieAlgebroid.html