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

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.