论文标题
$ g $ zips的堆栈上的自动矢量捆绑包
Automorphic vector bundles on the stack of $G$-zips
论文作者
论文摘要
对于有限字段上连接的还原组$ g $，我们在$ g $ -ZIPS的堆栈上研究自动形态矢量束。特别是，我们在一般情况下给出了一个公式，以根据brylinski-kostant过滤的自动载体束的全球部分的空间。此外，我们在$ g $ -ZIPS上的自动形态矢量捆绑包与可允许的模块类别的类别之间提供等效性，并具有零维代数亚组的动作a levi子组和单组操作员。
For a connected reductive group $G$ over a finite field, we study automorphic vector bundles on the stack of $G$-zips. In particular, we give a formula in the general case for the space of global sections of an automorphic vector bundle in terms of the Brylinski--Kostant filtration. Moreover, we give an equivalence of categories between the category of automorphic vector bundles on the stack of $G$-zips and a category of admissible modules with actions of a zero-dimensional algebraic subgroup a Levi subgroup and monodromy operators.
