Unipotent Representations and Microlocalization
Representation Theory
2021-08-26 v3
Abstract
We develop a theory of microlocalization for Harish-Chandra modules, adapting a construction of Losev (\cite{Losev2011}). We explore the applications of this theory to unipotent representations of real reductive groups. For complex groups, we deduce a formula for the -multiplicities of unipotent representations attached to a nilpotent orbit , proving an old conjecture of Vogan (\cite{Vogan1991}) in a large family of cases.
Cite
@article{arxiv.1805.12038,
title = {Unipotent Representations and Microlocalization},
author = {Lucas Mason-Brown},
journal= {arXiv preprint arXiv:1805.12038},
year = {2021}
}
Comments
Changed title, revised abstract, revised exposition throughout, added "Organization" section, updated references