Weak cuspidality and Howe correspondence
Representation Theory
2020-11-24 v1
Abstract
We study the effect of the Howe correspondence on Harish-Chandra series for type I dual pairs over finite fields with odd characteristic. We define a bijection obtained from this correspondence, and enjoying the property of ``having minimal unipotent support''. Finally, we examine the interaction between the Howe correspondence and weak cuspidality.
Keywords
Cite
@article{arxiv.2011.11345,
title = {Weak cuspidality and Howe correspondence},
author = {Jesua Epequin},
journal= {arXiv preprint arXiv:2011.11345},
year = {2020}
}
Comments
21 pages