English

Extensions of super Lie algebras

Quantum Algebra 2007-05-23 v2 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0101190,
  title  = {Extensions of super Lie algebras},
  author = {Dmitri Alekseevsky and Peter W. Michor and Wolfgang Ruppert},
  journal= {arXiv preprint arXiv:math/0101190},
  year   = {2007}
}

Comments

amstex, 10 pages, last (wrong) statement corrected

R2 v1 2026-07-22T16:36:58.137Z