Multiplicity formulas for discrete series representations in L2(Γ\Sp(2, R))

JOURNAL OF NUMBER THEORY

卷:133

Article

Wakatsuki, Satoshi

关键词: Multiplicity formula;    The split symplectic group of rank 2;    Discrete series representation;    Arthur's L-2-Lefschetz trace formula;    Dimension formula;    Siegel cusp form;    Automorphic representation;   

DOI  :  10.1016/j.jnt.2013.04.013

来源: Elsevier

【 摘 要 】

Let Sp(2) denote the split symplectic group of rank 2 over Q. Fix a prime p. Let K-p be a parahoric subgroup of Sp(2, Q(p)). An arithmetic subgroup Gamma is defined by Gamma = Sp(2, Q) boolean AND (Sp(2,R)K-0), where K-0 = K-p Pi(nu

【 授权许可】

Free