Maximality of hyperspecial compact subgroups avoiding Bruhat–Tits theory

Autor:	Marco Maculan
Rok vydání:	2017
Předmět:	Pure mathematics Algebra and Number Theory media_common.quotation_subject 010102 general mathematics Field (mathematics) 01 natural sciences Argument Originality Bounded function 0103 physical sciences 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematics media_common
Zdroj:	Annales de l'Institut Fourier. 67:1-21
ISSN:	1777-5310
DOI:	10.5802/aif.3075
Popis:	Let $k$ be a complete non-archimedean field (non trivially valued). Given a reductive $k$-group $G$, we prove that hyperspecial subgroups of $G(k)$ (i.e. those arising from reductive models of $G$) are maximal among bounded subgroups. The originality resides in the argument: it is inspired by the case of $\textrm{GL}_n$ and avoids all considerations on the Bruhat-Tits building of $G$.
Databáze:	OpenAIRE
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