Differential operators for Siegel-Jacobi forms

作者：Yang Jiong^*; Yin LinSheng

来源：Science China Mathematics, 2016, 59(6): 1029-1050.

DOI：10.1007/s11425-015-5111-4

• connection
• Jacobi form
• differential operator

For any positive integers n and m, H (n,m) := H (n) xC((m,n)) is called the Siegel-Jacobi space, with the Jacobi group acting on it. The Jacobi forms are defined on this space. We compute the Chern connection of the Siegel-Jacobi space and use it to obtain derivations of Jacobi forms. Using these results, we construct a series of invariant differential operators for Siegel-Jacobi forms. Also two kinds of Maass-Shimura type differential operators for H (n,m) are obtained.

• 出版日期2016-6
• 单位清华大学