On the Gan-Gross-Prasad problem for finite classical groups

2020/07/14 by Zhicheng Wang, Wang, Zhicheng
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2007.06938

openalex publication_date 2020/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the Gan-Gross-Prasad problem for finite classical groups. Our results provide complete answers for unipotent representations, and we obtain the explicit branching laws for these representations. Moreover, for arbitrary representations, we give a formula to reduce the Gan-Gross-Prasad problem to the restriction problem of Deligne-Lusztig characters.

Citations

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Restrictions of representations of classical groups: examples

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