Two geometric character formulas for reductive Lie groups
Authors:
- Wilfried SchmidWSWilfried Schmid
- Kari VilonenKVKari Vilonen
- 1 October 1998
- journal article
- Published by American Mathematical Society (AMS) in Journal of the American Mathematical Society
- Vol. 11 (4) , 799-867
Abstract
In this paper we prove two formulas for the characters of representations of reductive groups. Both express the character of a representation π \pi in terms of the same geometric data attached to π \pi . 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 π \pi .Keywords
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