3 papers
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…
math.RT2024
Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order
Auguste Hebert, Paul Philippe
Let be a split Kac-Moody group over a local field. In their study of the Iwahori-Hecke algebra of , A.Braverman, D. Kazhdan and M. Patnaik defined a partial order - called t…