Crossed modules and the integrability of Lie brackets

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dc.creatorAndroulidakis, Iakovos
dc.date2005-01-07
dc.date2006-09-25
dc.date.accessioned2026-07-07T09:47:15Z
dc.date.available2026-07-07T09:47:15Z
dc.descriptionWe 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}.
dc.description34 pages, revised version. New abstract and introduction. Added examples and remarks
dc.identifierhttps://arxiv.org/abs/math/0501103
dc.identifierhttp://arxiv.org/abs/math/0501103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163805
dc.subjectDifferential Geometry
dc.titleCrossed modules and the integrability of Lie brackets
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