The Harish-Chandra isomorphism for reductive symmetric superpairs

Details The Harish-Chandra isomorphism for reductive symmetric superpairs The Harish-Chandra isomorphism for reductive symmetric superpairs

2010-04-05

arxiv.org/abs/1004.0732v2

Mathematics

Representation Theory

43 pages; v2: substantially improved version

Scientific paper

We consider symmetric pairs of Lie superalgebras which are strongly reductive and of even type, and introduce a graded Harish-Chandra homomorphism. We prove that its image is a certain explicit filtered subalgebra of the Weyl invariants on a Cartan subspace whose associated graded is the image of Chevalley's restriction map on symmetric invariants. This generalises results of Harish-Chandra and V. Kac, M. Gorelik.

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