Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra

Abstract

We study the structure of parabolic inductions of a pro-$p$-Iwahori Hecke algebra. In particular, we give a classification of irreducible modulo $p$ representations of pro-$p$-Iwahori Hecke algebra in terms of supersingular representations. Since supersingular representations are classified by Ollivier and Vigneras, it completes the classification of irreducible modulo $p$ representations.

44 pages

Cited by in corpus (4)

• Cocenters and representations of affine $0$-Hecke algebras
• Parabolic induction in characteristic p
• Hecke modules and supersingular representations of U(2,1)
• Cocenters and representations of pro-$p$ Hecke algebras