descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2001Embargo end date: 01 Jan 2002 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Banach Center Publications, volume 54, pages 43-50 (issn: 0137-6934, eissn: 1730-6299,

Authors: Janusz Grabowski; Katarzyna Grabowska;

doi: 10.4064/bc54-0-4 , 10.48550/arxiv.math/0203053

arXiv: http://arxiv.org/abs/math/0203053

The Lie algebra of a Lie algebroid

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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.

8 pages

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University of Warsaw
Poland

Keywords

Mathematics - Differential Geometry, 17B60, 17B66 (Primary); 53C15 (Secondary), Differential Geometry (math.DG), Rings and Algebras (math.RA), 17B60, 17B66 (Primary), FOS: Mathematics, Mathematics - Rings and Algebras, 53C15 (Secondary)

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