Wave Front Sets of Reductive Lie Group Representations II
Representation Theory
2017-05-16 v2
Abstract
In this paper it is shown that the wave front set of a direct integral of singular, irreducible representations of a real, reductive algebraic group is contained in the singular set. Combining this result with the results of the first paper in this series, the author obtains asymptotic results on the occurrence of tempered representations in induction and restriction problems for real, reductive algebraic groups.
Cite
@article{arxiv.1403.6498,
title = {Wave Front Sets of Reductive Lie Group Representations II},
author = {Benjamin Harris},
journal= {arXiv preprint arXiv:1403.6498},
year = {2017}
}
Comments
Accepted to Transactions of the American Mathematical Society