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

Abstract

We construct the Arthur packets for symplectic and even orthogonal similitude groups over a $p$-adic field and show that they are stable and satisfy the twisted endoscopic character relations.

We add a notation reference section (Section 2), correct a sign error in Theorem 6.8 (old version) and fix the proof of Proposition 6.22 (old version)

References in corpus (4)

• On a lifting problem of L-packets
• Paquets d'Arthur pour les groupes classiques; point de vue combinatoire
• Nonarchimedean components of non-endoscopic automorphic representations for quasisplit $Sp(N)$ and $O(N)$
• Global L-packets of quasisplit $GSp(2n)$ and $GO(2n)$