论文标题
弱未受到的表示形式，有限的形态和knapp-stein $ r $ $ groups
Weakly unramified representations, finite morphisms, and Knapp-Stein $R$-groups
论文作者
论文摘要
我们将Knapp-Stein $ r $ - 群体转移，用于在$ p $ - ad-adic quasi-split组之间及其非quasi-split内部形式之间的统一弱未受到的字符，并为在$ p $ aidic领域的一般连接的还原组提供了这些$ r $ $ - 组的结构。这项工作支持对内部形式之间$ r $ groups的行为的先前研究，并扩展了密钥对简单相关的，几乎简单，半简单组的单一无关案例的分类。
We transfer Knapp-Stein $R$-groups for unitary weakly unramified characters between a $p$-adic quasi-split group and its non-quasi-split inner forms, and provide the structure of those $R$-groups for a general connected reductive group over a $p$-adic field. This work supports previous studies on the behavior of $R$-groups between inner forms, and extends Keys' classification for unitary unramified cases of simply-connected, almost simple, semi-simple groups.
