Crossed modules and the integrability of Lie brackets

Details Crossed modules and the integrability of Lie brackets Crossed modules and the integrability of Lie brackets

2005-01-07

arxiv.org/abs/math/0501103v2

Mathematics

Differential Geometry

34 pages, revised version. New abstract and introduction. Added examples and remarks

Scientific paper

We show that the integrability obstruction of a transitive Lie algebroid coincides with the lifting obstruction of a crossed module of groupoids associated naturally with the given algebroid. Then we extend this result to general extensions of integrable transitive Lie algebroids by Lie algebra bundles. Such a lifting obstruction is directly related with the classification of extensions of transitive Lie groupoids. We also give a classification of such extensions which differentiates to the classification of transitive Lie algebroids discussed in \cite{KCHM:new}.

Affiliated with

Also associated with

No associations

Rating

Crossed modules and the integrability of Lie brackets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Crossed modules and the integrability of Lie brackets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossed modules and the integrability of Lie brackets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-343394