On the Fourier-Jacobi model for some endoscopic Arthur packet of $U(3)\times U(3)$ : the non-generic case

Abstract

For a generic $L$-parameter of $U(n)\times U(n)$, it is conjectured that there is a unique representation in their associated relevant Vogan $L$-packet which produces the unique Fourier-Jacobi model. We investigated this conjecture for some non-generic $L$-parameters of $U(3)\times U(3)$ and discovered that this conjecture is still true for some non-generic $L$-parameter and false for some non-generic $L$-parameter. In the case when it holds, we specified such representation under the local Langlands correspondence for unitary group.

arXiv commentThis version involves some minor changes from the previous one. To appear in Pacific journal of Mathmatics. arXiv admin note: text overlap with arXiv:1501.00885

References in corpus (1)

• Endoscopie et conjecture raffinée de Gan-Gross-Prasad pour les groupes unitaires

Cited by in corpus (1)

• Branching laws for Classical Groups: the non-tempered case