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

DOI10.1016/J.AIM.2021.108095arXiv2007.06938MaRDI QIDQ6345053

Publication date: 14 July 2020

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.

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33)

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