The Lie algebra of a Lie algebroid
classification
🧮 math.DG
math.RA
keywords
algebrasanchormapsalgebraalgebroidalgebroidsassociatedbase
read the original 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.
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