Decomposition of the Uniform Projection of the Weil Character
Representation Theory
2020-08-03 v1
Abstract
In this paper we obtain a decomposition formula of the uniform projection of the Weil character of a finite reductive dual pair consisting of a symplectic group and an even orthogonal group. This is the first and major step to give an explicit description of the Howe correspondence on unipotent characters confirming a conjecture by Aubert-Michel-Rouquier.
Keywords
Cite
@article{arxiv.2007.15768,
title = {Decomposition of the Uniform Projection of the Weil Character},
author = {Shu-Yen Pan},
journal= {arXiv preprint arXiv:2007.15768},
year = {2020}
}
Comments
This work previously appeared under arXiv:1901.00623v1 (and v2), which has been split into two parts. The second part is now available as arXiv:1901.00623v3