Two geometric character formulas for reductive Lie groups
Representation Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper we prove two formulas for the characters of representations of reductive groups. Both express the character of a representation in terms of the same geometric data attached to it. When specialized to the case of a compact Lie group, one of them reduces to Kirillov's character formula in the compact case, and the other, to an application of the Atiyah-Bott fixed point formula to the Borel-Weil realization of the representation.
Keywords
Cite
@article{arxiv.math/9801081,
title = {Two geometric character formulas for reductive Lie groups},
author = {Wilfried Schmid and Kari Vilonen},
journal= {arXiv preprint arXiv:math/9801081},
year = {2007}
}