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arXiv · 1901.00623

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

Shu-Yen Pan
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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.

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BibTeXRIS

Shu-Yen Pan. 2019-01-03. Howe Correspondence of Unipotent Characters for a Finite Symplectic/Even-orthogonal Dual Pair. https://arxiv.org/abs/1901.00623

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