Symmetric pairs and Gorelik elements
arXiv:math/0701267
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.
Accepted for publication in Journal of Algebra, special volume in honour of E.B. Vinberg (32 pages)