On anti-tempered local Arthur packets and a lemma of Arthur

Baiying Liu, Chi-Heng Lo, Freydoon Shahidi

Type: Preprint

Publication Date: 2024-05-27

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2405.17407

Abstract

In this note, following Arthur's ideas, we rework the process of constructing the anti-tempered local Arthur packets for quasi-split classical groups and their pure inner forms. In particular, we present explicit examples illustrating certain gap in a lemma of Arthur and provide modifications, based on the work of Moeglin, Waldspurger, and Xu.

Locations

arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the intersection of local Arthur packets for classical groups	2022	Alexander Hazeltine Baiying Liu Chi-Heng Lo
+	Jiang’s conjecture and Fibers of the Barbasch-Vogan duality	2024	Baiying Liu Chi-Heng Lo Freydoon Shahidi
+ PDF Chat	Local Intertwining Relations and Co-tempered $A$-packets of Classical Groups	2024	Hiraku Atobe Wee Teck Gan Atsushi Ichino Tasho Kaletha Alberto Mínguez Sug Woo Shin
+ PDF Chat	On the Weak Local Arthur Packets Conjecture for Split Classical Groups	2024	Baiying Liu Chi-Heng Lo
+	Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups	2016	Kwangho Choiy David Goldberg
+	Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups	2016	Kwangho Choiy David Theo Goldberg
+	On the weak local Arthur packets conjecture for split classical groups	2023	Baiying Liu Chi-Heng Lo
+ PDF Chat	Some Unipotent Arthur Packets for Reductive p-adic Groups	2023	Dan Ciubotaru Lucas Mason-Brown Emile Okada
+	The non-tempered theta 10 Arthur parameter and Gross-Prasad Conjectures	2013	Nadya Gurevich Dani Szpruch
+	The non-tempered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msub></mml:math> Arthur parameter and Gross–Prasad conjectures	2015	Nadya Gurevich Dani Szpruch
+	Some Unipotent Arthur Packets for Reductive $p$-adic Groups	2022	Dan Ciubotaru Lucas Mason-Brown Emile Okada
+	On unitarizability and Arthur packets	2020	Marko Tadić
+	Sur les paquets d'Arthur des groupes classiques et unitaires non quasi-déployés	2018	Colette Mœglin David Renard
+	On ${\rm Sp}$-distinguished representations of the quasi-split unitary groups	2018	Arnab Mitra Omer Offen
+ PDF Chat	L-packets over strong real forms	2024	Nicolás Arancibia Robert Paul Mezo
+	On multiplicity in restriction of tempered representations of $p$-adic groups	2013	Kwangho Choiy
+	On multiplicity in restriction of tempered representations of $p$-adic groups	2013	Kwangho Choiy
+ PDF Chat	Sur les paquets d'Arthur des groupes classiques et unitaires non quasi-d\'eploy\'es	2018	David Renard Colette Mœglin
+	Tempered representations for classical p-adic groups	2014	Chris Jantzen
+	Theta Correspondence and Arthur packets	2021	Rui Chen Jialiang Zou

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (0)

Action	Title	Year	Authors