The set of local A-packets containing a given representation

TL;DR

This paper presents an algorithm to identify all local A-packets containing a specific irreducible representation of p-adic classical groups, including determining if the representation is of Arthur type.

Contribution

The paper introduces a novel algorithm for classifying local A-packets and identifying Arthur type representations in p-adic classical groups.

Findings

Algorithm successfully determines all local A-packets containing a given representation.

Method can identify whether a representation is of Arthur type.

Provides a systematic approach for classification in p-adic classical groups.

Abstract

In this paper, we give an algorithm to determine all local A-packets containing a given irreducible representation of a p-adic classical group. Especially, we can determine whether a given irreducible representation is of Arthur type or not.