The Harish-Chandra isomorphism for reductive symmetric superpairs

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.

43 pages; v2: substantially improved version

References in corpus (2)

• Classification of Topological Insulators and Superconductors
• Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs

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