On Arthur packets containing a fixed tempered representation

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Alexander Hazeltine, Aarya Kumar, Andrew Tung
DOI: 10.48550/arxiv.2602.13090
Cited by: 0

Abstract

We determine the number of local Arthur packets containing a certain fixed tempered representation for classical $p$-adic groups. More specifically, given a tempered extended multi-segment supported in the integers, we determine a count for all extended multi-segments which arise from it through applications of the operators arising from the theory of intersections of local Arthur packets.

Fields of Study & Subjects

Advanced Algebra and Geometry Finite Group Theory Research Advanced Operator Algebra Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 February 2026
Language
EN
Document type
Preprint