10 citations · 32 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields
Auguste Hébert
In this paper, we prove some finiteness results about split Kac-Moody groups over local non-archimedean fields. Our results generalize those of "An affine Gindikin-Karpelevich form…