On Arthur packets containing a fixed tempered representation

Fuente: arXiv
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Hauptverfasser: Hazeltine, Alexander, Kumar, Aarya, Tung, Andrew
Format: Preprint
Veröffentlicht: 2026
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author Hazeltine, Alexander
Kumar, Aarya
Tung, Andrew
author_facet Hazeltine, Alexander
Kumar, Aarya
Tung, Andrew
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_13090
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Arthur packets containing a fixed tempered representation
Hazeltine, Alexander
Kumar, Aarya
Tung, Andrew
Representation Theory
Number Theory
11F70, 22E50
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.
title On Arthur packets containing a fixed tempered representation
topic Representation Theory
Number Theory
11F70, 22E50
url https://arxiv.org/abs/2602.13090