The Lie algebra of a Lie algebroid

Details The Lie algebra of a Lie algebroid The Lie algebra of a Lie algebroid

2002-03-06

arxiv.org/abs/math/0203053v1

in "Lie Algebroids", Banach Center Publications, vol. 54, Polish Academy of Sciences, Warszawa 2001, 43-50

Mathematics

Differential Geometry

8 pages

Scientific paper

Results describing Lie ideals and maximal finite-codimensional Lie
subalgebras of the Lie algebras associated with Lie algebroids with
non-singular anchor maps are presented. It is also proved that every
isomorphism of such Lie algebras induces a diffeomorphism of base manifolds
respecting the generalized foliations defined by the anchor maps.

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