The Harish-Chandra isomorphism for reductive symmetric superpairs
Representation Theory
2013-02-19 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1004.0732,
title = {The Harish-Chandra isomorphism for reductive symmetric superpairs},
author = {Alexander Alldridge},
journal= {arXiv preprint arXiv:1004.0732},
year = {2013}
}
Comments
43 pages; v2: substantially improved version