Degree Differences in the Eta Correspondences
Representation Theory
2021-11-29 v1
Abstract
A sub-relation of the -correspondence called the \emph{-correspondence} is defined by Gurevich-Howe for a finite reductive dual pair in stable range. In this paper we propose an extension of the correspondence to general finite reductive dual pairs. Then we determine the domain the correspondence and prove a formula on the difference of degrees in of two irreducible characters paired by the correspondence.
Cite
@article{arxiv.2111.12935,
title = {Degree Differences in the Eta Correspondences},
author = {Shu-Yen Pan},
journal= {arXiv preprint arXiv:2111.12935},
year = {2021}
}