Tempered Representations and Nilpotent Orbits
Representation Theory
2015-05-05 v2
Abstract
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.
Cite
@article{arxiv.1209.4123,
title = {Tempered Representations and Nilpotent Orbits},
author = {Benjamin Harris},
journal= {arXiv preprint arXiv:1209.4123},
year = {2015}
}
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