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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Stable nilpotent orbital integrals on real reductive Lie algebras
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by Robert E. Kottwitz PDF
Represent. Theory 4 (2000), 16-31 Request permission


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
  • Email:
  • Received by editor(s): May 14, 1998
  • Received by editor(s) in revised form: August 25, 1999
  • Published electronically: February 1, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Represent. Theory 4 (2000), 16-31
  • MSC (2000): Primary 22E45; Secondary 22E50
  • DOI:
  • MathSciNet review: 1740178