English

The Lie algebra of a Lie algebroid

Differential Geometry 2007-05-23 v1 Rings and Algebras

Abstract

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.

Cite

@article{arxiv.math/0203053,
  title  = {The Lie algebra of a Lie algebroid},
  author = {Janusz Grabowski and Katarzyna Grabowska},
  journal= {arXiv preprint arXiv:math/0203053},
  year   = {2007}
}

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8 pages