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
收藏
页码：645 / 698
页数：54
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