English

Dirac operators and the Very Strange Formula for Lie superalgebras

Representation Theory 2017-01-23 v2

Abstract

Using a super-affine version of Kostant's cubic Dirac operator, we prove a very strange formula for quadratic finite-dimensional Lie superalgebras with a reductive even subalgebra.

Keywords

Cite

@article{arxiv.1305.5043,
  title  = {Dirac operators and the Very Strange Formula for Lie superalgebras},
  author = {Victor G. Kac and Pierluigi Moseneder Frajria and Paolo Papi},
  journal= {arXiv preprint arXiv:1305.5043},
  year   = {2017}
}

Comments

Latex file, 25 pages. A few misprints corrected. To appear in the forthcoming volume "Advances in Lie Superalgebras", Springer INdAM Series