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math.GR2017★ 10 cited
A new axiomatics for masures
Auguste Hébert
Masures are generalizations of Bruhat-Tits buildings. They were introduced to study Kac-Moody groups over ultrametric fields, which generalize reductive groups over the same fields…
math.RT2017★ 5 cited
Completed Iwahori-Hecke algebras and parahoric Hecke algebras for Kac-Moody groups over local fields
Ramla Abdellatif, Auguste Hébert
Let G be a split Kac-Moody group over a non-archimedean local field. We define a completion of the Iwahori-Hecke algebra of G. We determine its center and prove that it is isomorph…