论文标题
希达理论的特殊命令
Hida theory for special orders
论文作者
论文摘要
该注释专门研究由Pizer定义的命令引起的四世模块化形式家族的研究。在这种情况下，Hecke-eigenspaces与Eichler命令的经典案例相反。主要的结果是基于HIDA精神的控制定理，插入了这些二维Hecke-eigenspaces。我们将注意力限制在一个明确的理性四基因代数上，以单个奇数prime $ \ ell $进行。
This note is devoted to the study of families of quaternionic modular forms arising from orders defined by Pizer. In this situation, the Hecke-eigenspaces are 2-dimensional contrary to the classical case of Eichler orders. The main result is a Control Theorem in the spirit of Hida, interpolating these 2-dimensional Hecke-eigenspaces. We restrict our attention to a definite rational quaternion algebra ramified at a single odd prime $\ell$.
