Tempered representations and nilpotent orbits

Harris, Benjamin

doi:10.1090/S1088-4165-2012-00414-9

Tempered representations and nilpotent orbits
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by Benjamin Harris

Represent. Theory 16 (2012), 610-619

DOI: https://doi.org/10.1090/S1088-4165-2012-00414-9

Published electronically: December 13, 2012

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Abstract:

Given a nilpotent orbit $\mathcal {O}$ of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation $\pi$ such that $\mathcal {O}$ occurs in the wave front cycle of $\pi$. The coefficients of the wave front cycle of a tempered representation are expressed in terms of volumes of precompact submanifolds of an affine space.

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