论文标题
比较$ \ mathrm {gl} _ {n} $的内部形式的类型
Comparison of types for inner forms of $\mathrm{GL}_{N}$
论文作者
论文摘要
令$ f $为非架构的本地领域，$ a $为中央简单的$ f $ -algebra，而$ g $是$ a $的乘法组。为了构建$ g $的超质质表示的类型，Sécherre-stevens和Yu的构造的简单类型已经知道。在本文中，我们比较了这些结构。特别是，我们显示了由Bushnell所定义的$ G $的基本驯服的超级刺激表示 - Henniart不过是由Yu定义的驯服超舒张表示。
Let $F$ be a non-archimedean local field, $A$ be a central simple $F$-algebra, and $G$ be the multiplicative group of $A$. To construct types for supercuspidal representations of $G$, simple types by Sécherre--Stevens and Yu's construction are already known. In this paper, we compare these constructions. In particular, we show essentially tame supercuspidal representations of $G$ defined by Bushnell--Henniart are nothing but tame supercuspidal representations defined by Yu.
