Alekseevsky, Dmitri; Michor, Peter W.; Ruppert, W. A. F. Extensions of super Lie algebras. (English) Zbl 1098.17014 J. Lie Theory 15, No. 1, 125-134 (2005). A super Lie algebra is a 2-graded vector space together with a graded Lie bracket of degree 0. The theory of group extension and their interpretation in terms of cohomology is well known. Analogous results exists e.g., for categories or Lie algebras. This paper study (non-abelian) extensions of a super Lie algebra and identify a cohomological obstruction to the existence. Some analogy with concepts of differential geometry is shown: covariant exterior derivatives, curvature, Bianchi identity. Reviewer: Georges Hoff (Villetaneuse) Cited in 26 Documents MSC: 17B55 Homological methods in Lie (super)algebras 17B56 Cohomology of Lie (super)algebras 18G99 Homological algebra in category theory, derived categories and functors Keywords:cohomology PDFBibTeX XMLCite \textit{D. Alekseevsky} et al., J. Lie Theory 15, No. 1, 125--134 (2005; Zbl 1098.17014) Full Text: arXiv EuDML