The set of local A-packets containing a given representation

2022/01/04 by Hiraku Atobe, Atobe, Hiraku · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2201.00952

openalex publication_date 2022/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• On the Muić conjecture--the irreducibility of the big theta lift
• Unitary dual of p-adic split SO_2n+1 and Sp_2n: The good parity case (and slightly beyond)

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