The Shimura–Waldspurger Correspondence for Mp(2n)
WT Gan, WW Li - Geometric Aspects of the Trace Formula 2, 2018 - Springer
We describe some recent developments and formulate some conjectures in the genuine
representation theory and the study of automorphic forms of the metaplectic group Mp (2 n) …
representation theory and the study of automorphic forms of the metaplectic group Mp (2 n) …
Sur les paquets d'Arthur des groupes classiques et unitaires non quasi-déployés
C Moeglin, D Renard - … Functoriality and Automorphic Forms: CIRM Jean …, 2018 - Springer
Soient G un groupe réductif défini sur un corps local F et G∗ sa forme intérieure quasi-
déployée. En suivant Arthur, on définit les A-morphismes de WF× SL (2, C) dans LG que l'on …
déployée. En suivant Arthur, on définit les A-morphismes de WF× SL (2, C) dans LG que l'on …
Equivalent definitions of Arthur packets for real classical groups
J Adams, NA Robert, P Mezo - arXiv preprint arXiv:2108.05788, 2021 - arxiv.org
Arthur has conjectured the existence of what are now known as Arthur packets of
representations of reductive algebraic groups over local and global fields. In the case of …
representations of reductive algebraic groups over local and global fields. In the case of …
Arthur's multiplicity formula for even orthogonal and unitary groups
R Chen, J Zou - arXiv preprint arXiv:2103.07956, 2021 - arxiv.org
Let G be an even orthogonal or unitary group over a number field. Based on the same
observation used in arXiv: 1705.10106, we prove the Arthur's multiplicity formula for the …
observation used in arXiv: 1705.10106, we prove the Arthur's multiplicity formula for the …
Sur les paquets d'Arthur aux places réelles, translation
C Moeglin, D Renard - Geometric Aspects of the Trace Formula 2, 2018 - Springer
Cet article s' insère dans un projet dont le but est la description aussi explicite que possible
des paquets d'Arthur des groupes classiques réels et la preuve d'un résultat de multiplicité …
des paquets d'Arthur des groupes classiques réels et la preuve d'un résultat de multiplicité …
Generic irreducibility of parabolic induction for real reductive groups
D Renard - arXiv preprint arXiv:2310.11202, 2023 - arxiv.org
Let $ G $ be a real reductive linear group in the Harish-Chandra class. Suppose that $ P $ is
a parabolic subgroup of $ G $ with Langlands decomposition $ P= MAN $. We prove that if …
a parabolic subgroup of $ G $ with Langlands decomposition $ P= MAN $. We prove that if …
SUR LES PAQUETS D'ARTHUR DE CONTENANT DES MODULES UNITAIRES DE PLUS HAUT POIDS, SCALAIRES
C Moeglin, D Renard - Nagoya Mathematical Journal, 2021 - cambridge.org
Abstract Soit $\unicode [STIX]{x1D70B} $ un module de plus haut poids unitaire du groupe $
G=\mathbf {Sp}(2n,\mathbb {R}) $. On s' intéresse aux paquets d'Arthur contenant $\unicode …
G=\mathbf {Sp}(2n,\mathbb {R}) $. On s' intéresse aux paquets d'Arthur contenant $\unicode …
Ibukiyama correspondences on automorphic forms on $\Mp_4 (\A_\Q) $ and $\SO_5 (\A_\Q) $ generating large discrete series representations at the real place
H Ishimoto - arXiv preprint arXiv:2312.06921, 2023 - arxiv.org
In our previous paper we gave proofs of Ibukiyama's correspondences on holomorphic
Siegel modular forms of degree 2 of half-integral weight and integral weight. In this paper …
Siegel modular forms of degree 2 of half-integral weight and integral weight. In this paper …
The Automorphic Discrete Spectrum of Mp4
WT Gan, A Ichino - International Mathematics Research Notices, 2021 - academic.oup.com
The Automorphic Discrete Spectrum of Mp4 Page 1 WT Gan and A. Ichino (2021) “The
Automorphic Discrete Spectrum of Mp4,” International Mathematics Research Notices, Vol. 2021 …
Automorphic Discrete Spectrum of Mp4,” International Mathematics Research Notices, Vol. 2021 …
Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2
H Ishimoto - Mathematische Annalen, 2022 - Springer
We prove Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of
degree 2 by using Arthur's multiplicity formula on the split odd special orthogonal group SO …
degree 2 by using Arthur's multiplicity formula on the split odd special orthogonal group SO …