2001/01/31 by Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
Mathematics · #math.QA #math.RT #msc:17B05 #msc:17B56
published as J. Lie Theory 15 (2005) No. 1, 125--134 · amstex, 10 pages, last (wrong) statement corrected
arxiv created 2004/02/26 · arxiv updated 2009/11/30
We study (non-abelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, parallel to the known one for Lie algebras. An analogy to the setting of covariant exterior derivatives, curvature, and the Bianchi identity in differential geometry is spelled out.