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Representation Theory

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Stable nilpotent orbital integrals on real reductive Lie algebras

Author: Robert E. Kottwitz
Journal: Represent. Theory 4 (2000), 16-31
MSC (2000): Primary 22E45; Secondary 22E50
Published electronically: February 1, 2000
MathSciNet review: 1740178
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Abstract: This paper proves a stable analog of Rossmann’s formula for the number of $G(\mathbb {R})$-orbits in $\mathfrak g \cap \mathbf {O}$, where $\mathbf {O}$ is a nilpotent orbit in $\mathfrak {g}_{\mathbf {C}}$.

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Additional Information

Robert E. Kottwitz
Affiliation: Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, Illinois 60637

Received by editor(s): May 14, 1998
Received by editor(s) in revised form: August 25, 1999
Published electronically: February 1, 2000
Article copyright: © Copyright 2000 American Mathematical Society