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arXiv:1209.4123 [math.RT]AbstractReferencesReviewsResources

Tempered Representations and Nilpotent Orbits

Benjamin Harris

Published 2012-09-19, updated 2015-05-04Version 2

Given a nilpotent orbit O of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation pi such that 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.

Comments: The class of nilpotent orbits studied in this paper is different from the class of noticed nilpotent orbits studied by Noel. A previous version of this paper erroneously stated that these two classes are the same. Representation Theory, Volume 16, 2012
Categories: math.RT
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