Howe Correspondence of Unipotent Characters for a Finite Symplectic/Even-orthogonal Dual Pair

Abstract

In this paper we give a complete description of the Howe correspondence of unipotent characters for a finite dual pair of a symplectic group and an even orthogonal group in terms of the Lusztig parametrization under a mild restriction of the characteristic of the base field. That is, the conjecture by Aubert-Michel-Rouquier is confirmed.

References in corpus (3)

• Lusztig Correspondence and Howe Correspondence for Finite Reductive Dual Pairs
• On Theta and Eta Correspondences for Finite Symplectic/Orthogonal Dual Pairs
• Decomposition of the Uniform Projection of the Weil Character

Cited by in corpus (9)

• Lusztig Correspondence and Howe Correspondence for Finite Reductive Dual Pairs
• On Theta and Eta Correspondences for Finite Symplectic/Orthogonal Dual Pairs
• On Theta Ranks of Irreducible Characters of a Finite Classical Group
• On Theta and Eta Correspondences for Finite Unitary Dual Pairs
• On the Howe correspondence and Harish-Chandra series
• Decomposition of the Uniform Projection of the Weil Character
• Lusztig correspondence and the Gan-Gross-Prasad problem
• Degree Differences in the Eta Correspondences
• Correspondences between affine Hecke algebras and applications