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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
DOI: https://doi.org/10.1090/S1088-4165-00-00051-0
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 $G({\mathbf{R}})$-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
Email: kottwitz@math.uchicago.edu

DOI: https://doi.org/10.1090/S1088-4165-00-00051-0
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

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