论文标题
扩展的Weil表示：有限的现场案例
Extended Weil representations: the finite field cases
论文作者
论文摘要
众所周知（参见Weil，gérardin的作品），在一个奇数有限的领域上有两个不同的Weil表示。通过扭曲的动作，我们表明可以将它们重组为相关的投影象征相似组的表示。我们还通过遵循Genestier-Lysenko和Gurevich-Hadani在特征二的几何形状表示方面的作品进行讨论。结果，我们从MVW，Prasad和Takeda的作品中启发的Lattice模型中取得了一些结果。
It is well known(cf. Weil, Gérardin's works) that there are two different Weil representations of a symplectic group over an odd finite field. By a twisted action, we show that one can reorganize them as a representation of a related projective symplectic similitude group. We also discuss the even field case by following Genestier-Lysenko and Gurevich-Hadani's works on geometric Weil representations in characteristic two. As a result, we approach some of their results from the lattice model, which is inspired by MVW, Prasad and Takeda's works.
