The set of local A-packets containing a given representation
Hiraku Atobe

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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models
