Howe correspondence of unipotent characters for a finite symplectic/even-orthogonal dual pair

Shu-Yen Pan

Type: Article

Publication Date: 2024-05-24

Citations: 2

DOI: https://doi.org/10.1353/ajm.2024.a928326

Abstract

abstract: In this paper we give a complete and explicit description of the Howe correspondence of unipotent characters for a finite reductive dual pair of a symplectic group and an even orthogonal group in terms of the Lusztig parametrization. That is, the conjecture by Aubert-Michel-Rouquier is confirmed.

Locations

American Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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