Stable nilpotent orbital integrals on real reductive Lie algebras

Kottwitz, Robert

doi:10.1090/S1088-4165-00-00051-0

Stable nilpotent orbital integrals on real reductive Lie algebras
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by Robert E. Kottwitz

Represent. Theory 4 (2000), 16-31

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

Published electronically: February 1, 2000

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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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