Generalized Preservation Principle in Finite Theta Correspondence
Representation Theory
2022-07-15 v1
Abstract
It is known that irreducible cuspidal characters satisfy the preservation principle in the Howe correspondences of finite reductive dual pairs. In this article, we generalize the preservation principle to any irreducible characters of classical groups.
Keywords
Cite
@article{arxiv.2207.06688,
title = {Generalized Preservation Principle in Finite Theta Correspondence},
author = {Shu-Yen Pan},
journal= {arXiv preprint arXiv:2207.06688},
year = {2022}
}
Comments
The results in this paper replace Section 8-10 of old version of arXiv:1906.01158