The Lie algebra of a Lie algebroid
Volume 54 / 2001
Banach Center Publications 54 (2001), 43-50
MSC: Primary 17B60, 17B66; Secondary 53C15.
DOI: 10.4064/bc54-0-4
Abstract
We present results describing Lie ideals and maximal finite-codimensional Lie subalgebras of the Lie algebras associated with Lie algebroids with non-singular anchor maps. We also prove that every isomorphism of such Lie algebras induces a diffeomorphism of base manifolds respecting the generalized foliations defined by the anchor maps.
