Dirac operators and the Very Strange Formula for Lie superalgebras
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.5043
- arXiv:
- arXiv:1305.5043
- Bibcode:
- 2013arXiv1305.5043K
- Keywords:
-
- Mathematics - Representation Theory;
- 17B20
- E-Print:
- Latex file, 25 pages. A few misprints corrected. To appear in the forthcoming volume "Advances in Lie Superalgebras", Springer INdAM Series