论文标题
扩展的Weil表示:非YADIC的本地野外案例
Extended Weil representations: the non-dyadic local field cases
论文作者
论文摘要
令F为奇数残留特征的非一切内场。令W为F上的符号矢量空间。众所周知,Meteplectic覆盖组MP(W)的Weil表示不同。通过一些扭曲的动作,我们将它们重组为$ pgmp^{\ pm}(w)$的表示,这是与投影型相似符号组相关的覆盖组。
Let F be a non-archimedean local field of odd residual characteristic. Let W be a symplectic vector space over F. It is known that there are different Weil representations of a Meteplectic covering group Mp(W). By some twisted actions, we reorganize them as a representation of $PGMp^{\pm}(W)$, which is a covering group related to the projective similitude symplectic group.