• Corpus ID: 245668816

The set of local A-packets containing a given representation

  title={The set of local A-packets containing a given representation},
  author={Hiraku Atobe},
In this paper, we give an algorithm to determine all local A-packets containing a given irreducible representation of a p-adic classical group. Especially, we can determine whether a given irreducible representation is of Arthur type or not. 
1 Citations

The closure ordering conjecture on local $L$-parameters in local Arthur packets of classical groups

In this paper, we study the structure of the set of local Arthur parameters such that the corresponding local Arthur packets all contain a given representation of the split classical groups Gn =



On the socles of certain parabolically induced representations of 𝑝-adic classical groups

  • Hiraku Atobe
  • Mathematics
    Representation Theory of the American Mathematical Society
  • 2022
In this paper, we consider representations of p p -adic classical groups parabolically induced from the products of shifted Speh representations and unitary representations of Arthur type of

On Mœglin's Parametrization of Arthur Packets for p-adic Quasisplit Sp (N) and SO(N)

  • Bin Xu
  • Mathematics
    Canadian Journal of Mathematics
  • 2017
Abstract We give a survey on Mœglin's construction of representations in the Arthur packets for $p$ -adic quasisplit symplectic and orthogonal groups. The emphasis is on comparing Mœglin's

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

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


  • Bin Xu
  • Mathematics
    Journal of the Institute of Mathematics of Jussieu
  • 2019
Abstract We develop a general procedure to study the combinatorial structure of Arthur packets for $p$ -adic quasisplit $\mathit{Sp}(N)$ and $O(N)$ following the works of Mœglin. This will allow us

Comparaison des param\`etres de Langlands et des exposants \`a l'int\'erieur d'un paquet d'Arthur

In this paper, one proves an idea expressed by Clozel: inside an Arthur's packet, one has the representations in the Langlands' packet inside the Arthur's packet and more tempered representations

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

Le but de cet article est de terminer la description combinatoire des paquets d’Arthur pour des groupes classiques p-adiques. Les paquets sont associés à des morphismes, ψ, du groupe WF × SL(2,C)×

Construction of local A-packets

  • Hiraku Atobe
  • Mathematics
    Journal für die reine und angewandte Mathematik (Crelles Journal)
  • 2022
Abstract In the present paper, we reformulate Mœglin’s explicit construction of local A-packets of split odd special orthogonal groups and symplectic groups. By this reformulation together with

Multiplicité 1 dans les paquets d’Arthur aux places p-adiques

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