On Lie Algebra Crossed Modules

DOI10.1080/00927870500542705zbMath1118.17004arXivmath/0611375OpenAlexW2118478915MaRDI QIDQ5478685

Friedrich Wagemann

Publication date: 13 July 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611375

zbMATH Keywords

Lie algebra cohomologycrossed modules of Lie algebrasextensions of Lie algebrasGodbillon-Vey cocycle

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Homological methods in Lie (super)algebras (17B55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Crossed modules for Lie 2-algebras, Crossed modules for Hom–Lie antialgebras, More remarks on the cohomology of Krichever-Novikov algebras, Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy, Categorifying the Knizhnik-Zamolodchikov connection, Obstruction classes of crossed modules of Lie algebroids and Lie groupoids linked to existence of principal bundles, Crossed extensions of Lie algebras, On the string Lie algebra, Nijenhuis forms on \(L_\infty\)-algebras and Poisson geometry, Homological aspects of Lie algebra crossed modules, Non-Abelian Extensions of Topological Lie Algebras, An Explicit Seven-Term Exact Sequence for the Cohomology of a Lie Algebra Extension, ON 2-HOLONOMY, The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules, A cocycle model for topological and Lie group cohomology, Infinitesimal 2-braidings and differential crossed modules

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