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Symmetric pairs and Gorelik elements

Michel Duflo, Emanuela Petracci

math.RTarXiv: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.

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