no. 1
Topologies on split Kac–Moody groups over valued fields
[Topologies sur les groupes de Kac–Moody déployés sur les corps valués]
Auguste Hébert1
1 Université de Lorraine Institut Élie Cartan de Lorraine F-54000 Nancy, France
Annales mathématiques Blaise Pascal, Tome 32 (2025) no. 1, pp. 77-121.

Let $G$ be a minimal split Kac–Moody group over a valued field $\mathcal{K}$. Motivated by the representation theory of $G$, we define two topologies of topological group on $G$, which take into account the topology on $\mathcal{K}$.

Soit $G$ un groupe de Kac–Moody déployé sur un corps local $\mathcal{K}$. Motivés par la théorie des représentation de $G$, nous introduisons deux topologies de groupe topologique sur $G$.

Publié le :
DOI : 10.5802/ambp.434
Keywords: Kac–Moody groups, valued fields, masures

Auguste Hébert 1

1 Université de Lorraine Institut Élie Cartan de Lorraine F-54000 Nancy, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Auguste Hébert. Topologies on split Kac–Moody groups over valued fields. Annales mathématiques Blaise Pascal, Tome 32 (2025) no. 1, pp. 77-121. doi : 10.5802/ambp.434. https://ambp.centre-mersenne.org/articles/10.5802/ambp.434/

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