On Lie algebra crossed modules

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dc.creatorWagemann, Friedrich
dc.date2006-11-13
dc.date.accessioned2026-07-07T07:32:50Z
dc.date.available2026-07-07T07:32:50Z
dc.descriptionThis article constructs a crossed module corresponding to the generator of the third cohomology group with trivial coefficients of a complex simple Lie algebra. This generator reads as <[,],>, constructed from the Lie bracket [,] and the Killing form <,>. The construction is inspired by the corresponding construction for the Lie algebra of formal vector fields in one formal variable on R, and its subalgebra sl_2(R), where the generator is usually called Godbillon-Vey class.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0611375
dc.identifierhttp://arxiv.org/abs/math/0611375
dc.identifierComm. Algebra 34 (2006) no. 5, 1699-1722
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119252
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.subject17B56
dc.titleOn Lie algebra crossed modules
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