Translation principle for Dirac index

Let G be a finite cover of a closed connected transpose-stable subgroup of GL(n,R) with complexified Lie algebra g. Let K be a maximal compact subgroup of G, and assume that G and K have equal rank. We prove a translation principle for the Dirac index of virtual (g,K)-modules. As a byproduct, to eac...

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Bibliographic Details
Main Authors: Mehdi, Salah, Pandzic, Pavle, Vogan, David A
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Johns Hopkins University Press 2018
Online Access:http://hdl.handle.net/1721.1/116090
https://orcid.org/0000-0002-9816-2395