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

2014/06/04 by Noriyuki Abe, Abe, Noriyuki · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1406.1003

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.

Cited by

• Parabolic induction in characteristic p
• Cocenters and representations of affine 0-Hecke algebras

Related

• Parabolic inductions for pro-p-Iwahori Hecke algebras
• Parabolic induction in characteristic p
• Genuine pro-p Iwahori--Hecke algebras, Gelfand--Graev representations, and some applications
• Parabolic induction in the homotopy category of pro-p Iwahori-Hecke modules
• Pro-p-Iwahori invariants for SL₂ and L-packets of Hecke modules