Vol. 13, No. 8, 2019

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A comparison between pro-$p$ Iwahori–Hecke modules and mod $p$ representations

Noriyuki Abe

Vol. 13 (2019), No. 8, 1959–1981
DOI: 10.2140/ant.2019.13.1959
Abstract

We give an equivalence of categories between certain subcategories of modules of pro-p Iwahori–Hecke algebras and modulo p representations.

Keywords
pro-p Iwahori–Hecke algebra, mod p representations
Mathematical Subject Classification 2010
Primary: 22E50
Secondary: 20C08
Milestones
Received: 20 December 2018
Revised: 1 March 2019
Accepted: 27 May 2019
Published: 9 October 2019
Authors
Noriyuki Abe
Graduate School of Mathematical Sciences
The University of Tokyo
Japan