The automorphic discrete spectrum of Mp₄

2019/07/09 by Wee Teck Gan, Atsushi Ichino, Gan, Wee Teck +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1907.03915

openalex publication_date 2019/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the multiplicity formula for the automorphic discrete spectrum of the metaplectic group Mp₄ of rank 2.

Citations

• L-functions and theta correspondence for classical groups
• Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique
• Sur les paquets d'Arthur des groupes classiques réels
• Sur les paquets d'Arthur aux places réelles, translation

Related

• The Residual Spectrum of Mp₄(A_k)
• Arthur's multiplicity formula for even orthogonal and unitary groups
• Arthur's multiplicity formula for GSp₄ and restriction to Sp₄
• Arthur packets for metaplectic groups
• On the multiplicity formula for discrete automorphic representations of disconnected tori