Dirac Index and Twisted Characters
Representation Theory
2017-06-27 v2
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.
Cite
@article{arxiv.1606.05425,
title = {Dirac Index and Twisted Characters},
author = {Dan Barbasch and Pavle Pandzic and Peter Trapa},
journal= {arXiv preprint arXiv:1606.05425},
year = {2017}
}
Comments
Fixed minor typs. Added material on elliptic pairings