On Theta and Eta Correspondences for Finite Symplectic/Orthogonal Dual Pairs

2020/06/11 by Shu-Yen Pan, Pan, Shu-Yen · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2006.06241

openalex publication_date 2020/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose two maximal one-to-one sub-relations \underlineθ, θ of the Howe correspondence Θ for a finite reductive dual pair consisting of a symplectic group and an orthogonal group. Moreover, we show that both the correspondences \underlineθ and θ are extensions beyond the stable range of the η-correspondence defined by Gurevich-Howe.

Citations

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

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