[图书][B] Endoscopic classification of representations of quasi-split unitary groups

CP Mok - 2015 - ams.org
In this paper we establish the endoscopic classification of tempered representations of quasi-
split unitary groups over local fields, and the endoscopic classification of the discrete …

[PDF][PDF] Functoriality for the classical groups

JW Cogdell, HH Kim, II Piatetski-Shapiro… - … Mathématiques de l' …, 2004 - numdam.org
Functoriality is one of the most central questions in the theory of automorphic forms and
representations [1, 2, 35, 36]. Locally and globally, it is a manifestation of Langlands' …

On parabolic induction on inner forms of the general linear group over a non-archimedean local field

E Lapid, A Mínguez - Selecta Mathematica, 2016 - Springer
We give new criteria for the irreducibility of parabolic induction on the general linear group
and its inner forms over a local non-archimedean field. In particular, we give a necessary …

[PDF][PDF] Multiplicité 1 dans les paquets d'Arthur aux places p-adiques

C Mœglin - On certain L-functions, 2011 - Citeseer
The main goal of this paper is to summarize the construction of Arthur's packet of
representations and to finish the proofs of the fact that each representation occurs with …

On Mœglin's parametrization of Arthur packets for p-adic quasisplit Sp (N) and SO (N)

B Xu - Canadian Journal of Mathematics, 2017 - cambridge.org
On Mœglin’s Parametrization of Arthur Packets for p-adic Quasisplit Sp(N) and SO(N) Page 1
Canad. J. Math. Vol. ( ), pp. – http://dx.doi.org/. /CJM-- ©Canadian Mathematical Society On …

Paquets stables des séries discrètes accessibles par endoscopie tordue; leur paramètre de Langlands

C Mœglin - Automorphic forms and related geometry: assessing …, 2014 - books.google.com
In this paper we give the Langlands' parameters of Langlands' packets of discrete series
using the twisted endoscopy as explained by Arthur; this holds for orthogonal, symplectic …

On first occurrence in the local theta

SS Kudla, S Rallis - … , L-functions and applications: progress and …, 2003 - degruyter.com
This paper discusses a conservation conjecture for the first occurrence indices. Such indices
record the first occurrence of an irreducible admissible representation π of a fixed group G in …

Affine Hecke algebras for classical -adic groups

AM Aubert, A Moussaoui, M Solleveld - arXiv preprint arXiv:2211.08196, 2022 - arxiv.org
We consider four classes of classical groups over a non-archimedean local field F:
symplectic,(special) orthogonal, general (s) pin and unitary. These groups need not be quasi …

Globalization of supercuspidal representations over function fields and applications

WT Gan, LA Lomeli - Journal of the European Mathematical Society, 2018 - ems.press
Let H be a connected reductive group defined over a non-archimedean local field F of
characteristic p> 0. Using Poincaré series, we globalize supercuspidal representations of HF …

Comparison of local relative characters and the Ichino–Ikeda conjecture for unitary groups

R Beuzart-Plessis - Journal of the Institute of Mathematics of Jussieu, 2021 - cambridge.org
COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA
CONJECTURE FOR UNITARY GROUPS Page 1 J. Inst. Math. Jussieu (2021) 20(6), 180 –1854 …