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

TL;DR

This paper constructs Arthur packets for symplectic and orthogonal similitude groups over p-adic fields, demonstrating their stability and compatibility with twisted endoscopic character relations, advancing the understanding of automorphic representations.

Contribution

It provides the explicit construction of Arthur packets for GSp(2n) and GO(2n) over p-adic fields, establishing their stability and endoscopic character relations.

Findings

Arthur packets are stable for these groups.

They satisfy twisted endoscopic character relations.

The construction advances automorphic representation theory.

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.