10 citations · 32 across the 7 of their papers we have counts for
7 papers
Kato's irreducibility criterion for Kac-Moody groups over local fields
Auguste Hébert
In 2014, Braverman, Kazhdan, Patnaik and Bardy-Panse, Gaussent and Rousseau associated Iwahori-Hecke algebras to Kac-Moody groups over non-Archimedean local fields. In a previous p…
-buildings associated to quasi-split groups over -valued fields
Auguste Hébert, Diego Izquierdo, Benoit Loisel
Let be a quasi-split reductive group and be a Henselian field equipped with a valuation , where is a non-zero tota…
Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields
Auguste Hébert
Recently, Iwahori-Hecke algebras were associated to Kac-Moody groups over non-Archimedean local fields. We introduce principal series representations for these algebras. We study t…
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…
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…
Distances on a masure (affine ordered hovel)
Auguste Hébert
A masure (a.k.a affine ordered hovel) I is a generalization of the Bruhat-Tits building that is associated to a split Kac-Moody group G over a non-archimedean local field. This is…