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arxiv: math/0610189 · v1 · submitted 2006-10-05 · 🧮 math.GR

Paquets d'Arthur pour les groupes classiques; point de vue combinatoire

Colette Moeglin (IMJ) This is my paper
classification 🧮 math.GR
keywords arthurgeneralgrouppacketrepresentationsworkclassicalclassiques
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The aim of this work, is to describe fairly explicitly a general Arthur's packet for a classical group. The problem to be solved, here, is the decompostion of induced representations. Following previous work on general linear group, such a description implies the needed transfer for the representations in Arthur's packet.

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  1. On Jiang's wavefront sets conjecture for representations in local Arthur packets

    math.RT 2026-03 unverdicted novelty 4.0

    Jiang's wavefront set conjecture is reduced via character identities and matching to wavefront set properties of bi-torsor GL representations, which follow from Atobe-Ciubotaru when residue characteristic is large.