Pith. sign in

REVIEW 2 cited by

Paquets d'Arthur des groupes classiques complexes

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1604.07328 v3 pith:CDX3KVQU submitted 2016-04-25 math.RT

classification math.RT
keywords nouspaquetsarthurbarbaschgroupespacketsclassificationclassiques
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Nous d\'ecrivons explicitement les paquets d'Arthur des groupes classiques complexes, ainsi que leur param\'etrisation interne par les caract\`eres du groupe des composantes connexes du centralisateur de leur param\`etre. Nous montrons d'abord qu'ils sont obtenus par induction parabolique pr\'eservant l'irr\'eductibilit\'e \`a partir des paquets unipotents de "bonne parit\'e". Pour ceux-ci, nous montrons qu'ils co\"incident avec les paquets d\'efinis par Barbasch-Vogan. Nous utilisons des r\'esultats profonds de Barbasch entrant dans sa classification du dual unitaire de ces groupes. We describe explicitly Arthur packets for complex classical groups, as well as their internal parametrization by the group of characters of the component group of the stabilizer of their parameter. We first show that they are obtained by parabolic induction preserving irreducibility from unipotent packets of "good parity". For these, we show that they coincide with the packets defined by Barbasch and Vogan. We use deep results of Barbasch entering his classification of the unitary dual of these groups.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Twisted $A_{2n}$ Class-S Theories

    hep-th 2024-11 conditional novelty 7.0 of 10

    A proposed formula and puncture data for twisted A2n Coulomb branch dimensions, built on a conjectured metaplectic special map d'.

  2. Even More On Twisted $A_{2n}$ Class-S Theories

    hep-th 2024-11 conditional novelty 6.0 of 10

    An order-4 twist automorphism and local polynomial constraints determine the Coulomb branch Hitchin systems for twisted A_{2n} class-S punctures, with explicit Seiberg-Witten curves for examples.

Pith tools