Symmetric pairs and Gorelik elements

Details Symmetric pairs and Gorelik elements Symmetric pairs and Gorelik elements

2007-01-09

arxiv.org/abs/math/0701267v1

Mathematics

Representation Theory

Accepted for publication in Journal of Algebra, special volume in honour of E.B. Vinberg (32 pages)

Scientific paper

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.

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