Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields

Auguste Hébert (1, 2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 ENS de Lyon - École normale supérieure de Lyon

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 these representations and partially generalize Kato and Matsumoto irreducibility criteria.

Domaines: Théorie des représentations [math.RT]

Auguste Hébert. Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields. 2020. ⟨hal-01960351v3⟩