In this paper the image of the Saito–Kurokawa lift of level N with Dirichlet character is studied. We give a new characterization of this so called Maass Spezialschar of level N by symmetries involving Hecke operators related to $$\Gamma _0(N)$$Γ0(N). We finally obtain for all prime numbers p local Maass relations. This generalizes known results for level $$N=1$$N=1.

中文翻译：

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N 级 Maass Spezialschar

本文研究了具有狄利克雷特征的 N 级 Saito-Kurokawa 电梯的图像。我们通过涉及与 $$\Gamma _0(N)$$Γ0(N) 相关的 Hecke 算子的对称性，对这种所谓的 N 级 Maass Spezialschar 进行了新的表征。我们最终获得所有素数 p 局部马斯关系。这概括了级别 $$N=1$$N=1 的已知结果。