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

DOI10.1353/AJM.2024.A928326arXiv1901.00623OpenAlexW4398793196MaRDI QIDQ6311947

Shu-Yen Pan

Publication date: 3 January 2019

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.

Full work available at URL: https://doi.org/10.1353/ajm.2024.a928326

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Theta series; Weil representation; theta correspondences (11F27) Simple groups: alternating groups and groups of Lie type (20D06) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33)

Related Items (1)

Lusztig correspondence and the finite Gan-Gross-Prasad problem

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