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math.GR2026
Masures associated with split Kac-Moody groups over valued fields
Auguste Hebert
Masures are generalizations of Bruhat-Tits buildings adapted to the study of Kac--Moody groups over valued fields. They were introduced by Gaussent and Rousseau in 2007. Rousseau d…
math.GR2025
Topologies on split Kac-Moody groups over valued fields
Auguste Hebert
Let be a minimal split Kac-Moody group over a valued field {\mathcal{K}. Motivated by the representation theory of , we define two topologies of topological group on , wh…