Lie algebroid

In mathematics, a Lie algebroid can be thought of as a restricted Lie module that has both a Lie bracket and a Lie algebra morphism, known as an anchor map, where T_r denotes the restricted tangent space, as,

The standard example of a Lie algebroid is the identity map corresponding to the tangent space of a Lie groupoid. It is a generalization of a Lie algebra for groupoids.

See also: Lie algebroid, Groupoid, Lie algebra, Lie bracket, Lie groupoid, Mathematics, Tangent space