Symmetric pairs and Gorelik elements
Representation Theory
2011-02-19 v1 Rings and Algebras
Abstract
The second author gave a formula for the elements of the enveloping algebra of a Lie superalgebra defined by Gorelik under an appropriate unimodularity assumption. We show that this formula is a particular case of a formula for the Jacobian of the exponential map of a symmetric superspace.
Keywords
Cite
@article{arxiv.math/0701267,
title = {Symmetric pairs and Gorelik elements},
author = {Michel Duflo and Emanuela Petracci},
journal= {arXiv preprint arXiv:math/0701267},
year = {2011}
}
Comments
Accepted for publication in Journal of Algebra, special volume in honour of E.B. Vinberg (32 pages)