Two geometric character formulas for reductive Lie groups
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 AtiyahBott fixed point formula to the BorelWeil realization of the representation.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 1998
 DOI:
 10.48550/arXiv.math/9801081
 arXiv:
 arXiv:math/9801081
 Bibcode:
 1998math......1081S
 Keywords:

 Representation Theory;
 Algebraic Geometry
 EPrint:
 J. Amer. Math. Soc. 11 (1998), no. 4, 799867