Nonarchimedean components of non-endoscopic automorphic representations for quasisplit $Sp(N)$ and $O(N)$

Abstract

Arthur classified the discrete automorphic representations of symplectic and orthogonal groups over a number field by that of the general linear groups. In this classification, those that are not from endoscopic lifting correspond to pairs $(\varphi ,b)$, where $\varphi$ is an irreducible unitary cuspidal automorphic representation of some general linear group and $b$ is an integer. In this paper, we study the local components of these automorphic representations at a nonarchimedean place, and we give a complete description of them in terms of their Langlands parameters.

add description of Langlands parameters; correct the formula for ${\delta }_i$ in Theorem 1.3 and Section 3; correct the notion of standard representation to costandard representation

References in corpus (1)

• A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $O(N)$

Cited by in corpus (1)

• Arthur packets for quasisplit $GSp(2n)$ and $GO(2n)$ over a $p$-adic field