Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2

被引：3

作者：

Ishimoto, Hiroshi ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan

来源：

MATHEMATISCHE ANNALEN | 2022年 / 383卷 / 1-2期

关键词：

Vector valued Siegel cusp forms of half-integral weight; Metaplectic groups; Jacobi forms; Jacobi groups; REPRESENTATIONS;

D O I：

10.1007/s00208-021-02232-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 SO5 and Gan-Ichino's multiplicity formula on the metaplectic group Mp(4). In the proof, the representation theory of the Jacobi groups also plays an important role.

引用

页码：645 / 698

页数：54

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