Discrete series characters and the Lefschetz formula for Hecke operators
Representation Theory
2007-05-23 v1
Abstract
This paper gives combinatorial formulas for discrete series constants, both stable and unstable, on real reductive groups. It also carries out one step of the comparison of the topological trace formula for Hecke operators with Arthur's trace formula for Hecke operators, the step in which the topological terms are combined in such a way that stable discrete series characters appear.
Cite
@article{arxiv.math/0601252,
title = {Discrete series characters and the Lefschetz formula for Hecke operators},
author = {Mark Goresky and Robert Kottwitz and Robert MacPherson},
journal= {arXiv preprint arXiv:math/0601252},
year = {2007}
}
Comments
This paper was published some time ago, but the version typeset by the journal has a couple of defects: there is a separate erratum and also the typesetting process introduced some confusing typo's that we did not catch. The version here should be considered as the definitive one