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Dirac Index and Twisted Characters

Published 17 Jun 2016 in math.RT | (1606.05425v2)

Abstract: Let G be a real reductive Lie group with maximal compact sub- group K. We generalize the usual notion of Dirac index to a twisted version, which is nontrivial even in case G and K do not have equal rank. We compute ordinary and twisted indices of standard modules. As applications, we study extensions of Harish-Chandra modules and twisted characters.

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