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On the Gan-Gross-Prasad problem for finite classical groups (2007.06938v3)

Published 14 Jul 2020 in math.RT

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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