分析群内Bruhat-Tits结构的内在表征

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2021-09-13 DOI:10.1307/mmj/20217220

Bertrand R'emy, Amaury Thuillier, A. Werner

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引用次数: 1

摘要

给定一个完全非阿基米德域上的半简单群，众所周知，来自非阿基米德解析几何的技术提供了将相应的Bruhat-Tits构造嵌入到与群相关的解析空间中的方法;通过将嵌入的地图组合到合适的分析空间，最终导致建筑的各种紧凑性。在本文中，我们给出了这种嵌入的内在特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Intrinsic Characterization of Bruhat–Tits Buildings Inside Analytic Groups

Given a semisimple group over a complete non-Archimedean field, it is well known that techniques from non-Archimedean analytic geometry provide an embedding of the corresponding Bruhat-Tits builidng into the analytic space associated to the group; by composing the embedding with maps to suitable analytic proper spaces, this eventually leads to various compactifications of the building. In the present paper, we give an intrinsic characterization of this embedding.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.