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

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.

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• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
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Cited by in corpus (1)

• Lusztig correspondence and the Gan-Gross-Prasad problem