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The local Gan-Gross-Prasad conjecture for UtimesU : a non-generic case

2017-10-05
Jaeho Haan

Abstract

The local Gan-Gross-Prasad conjecture of unitary groups, which is now settled by the works of Plessis, Gan and Ichino, says that for a pair of generic L-parameters of (U(n+1),U(n)), there is a unique pair of representations in their associated Vogan L-packets which produces the Bessel model. In this paper, we examined the conjecture for a pair of L-parameters of (U(n+1),U(n)) as fixing a special non-generic parameter of U(n+1) and varing tempered L-parameters of U(n). We observed that there still exist a Gan-Gross-Prasad type formulae depending on the choice of L-parameter of U(n).

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URL

https://arxiv.org/abs/1708.06705

PDF

https://arxiv.org/pdf/1708.06705


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