正交群中极小余特征标的可容许性与可容许性
Admissibility and permissibility for minuscule cocharacters in orthogonal groups
摘要：
对于一个给定的余性状μ，μ-容许性和μ-容许性是由Kottwitz和Rapoport在Shimura品种的坏约化理论中引入的组合概念。在本文中，我们证明了μ-容许性是等价于μ-容许性在所有以前未知的情况下，极小余特征标μ Iwahori-外尔群附加到分裂正交群。这与Kottwitz-Rapoport和作者以前处理的其他情况相结合，建立了分裂典型群中所有极小余特征标的μ-容许性和μ-容许性的等价性，正如Rapoport所证明的那样。
英文摘要：
For a given cocharacter mu, mu-admissibility and mu-permissibility are combinatorial notions introduced by Kottwitz and Rapoport that arise in the theory of bad reduction of Shimura varieties. In this paper we prove that mu-admissibility is equivalent to mu-permissibility in all previously unknown cases of minuscule cocharacters mu in Iwahori-Weyl groups attached to split orthogonal groups. This, combined with other cases treated previously by Kottwitz-Rapoport and the author, establishes the equivalence of mu-admissibility and mu-permissibility for all minuscule cocharacters in split classical groups, as conjectured by Rapoport.
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