English

Casimir operators, abelian subspaces and u-cohomology

Representation Theory 2008-10-11 v2

Abstract

This survey paper is an exposition of old and recent results of Kostant and al. on the relationships between the exterior algebra of a simple Lie algebra and the action of the Casimir operator on it. Our exposition relies on u-cohomology and it is basically self-contained.

Keywords

Cite

@article{arxiv.0705.2096,
  title  = {Casimir operators, abelian subspaces and u-cohomology},
  author = {Pierluigi Moseneder Frajria and Paolo Papi},
  journal= {arXiv preprint arXiv:0705.2096},
  year   = {2008}
}

Comments

Latex file, 11 pages, revised version. To appear in "Rendiconti di Matematica e delle sue Applicazioni"