English

Extensions of (super) Lie algebras

Representation Theory 2007-05-23 v2

Abstract

In this paper, we give a purely cohomological interpretation of the extension problem for (super) Lie algebras; that is the problem of extending a Lie algebra by another Lie algebra. We then give a similar interpretation of infinitesimal deformations of extensions. In particular, we consider infinitesimal deformations of representations of a Lie algebra.

Keywords

Cite

@article{arxiv.math/0611234,
  title  = {Extensions of (super) Lie algebras},
  author = {Alice Fialowski and Michael Penkava},
  journal= {arXiv preprint arXiv:math/0611234},
  year   = {2007}
}

Comments

25 pages

R2 v1 2026-07-22T17:45:57.704Z