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

Noriyuki Abe

doi:10.2140/ant.2019.13.1959

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Home > Journals > Algebra Number Theory > Volume 13 > Issue 8 > Article

2019 A comparison between pro-$p$ Iwahori–Hecke modules and mod $p$ representations

Noriyuki Abe

Algebra Number Theory 13(8): 1959-1981 (2019). DOI: 10.2140/ant.2019.13.1959

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Abstract

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

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Noriyuki Abe. "A comparison between pro-$p$ Iwahori–Hecke modules and mod $p$ representations." Algebra Number Theory 13 (8) 1959 - 1981, 2019. https://doi.org/10.2140/ant.2019.13.1959

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Received: 20 December 2018; Revised: 1 March 2019; Accepted: 27 May 2019; Published: 2019

First available in Project Euclid: 29 October 2019

zbMATH: 07118659

MathSciNet: MR4017541

Digital Object Identifier: 10.2140/ant.2019.13.1959

Subjects:

Primary: 22E50

Secondary: 20C08

Keywords: mod p representations , pro-p Iwahori–Hecke algebra

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Noriyuki Abe "A comparison between pro-$p$ Iwahori–Hecke modules and mod $p$ representations," Algebra & Number Theory, Algebra Number Theory 13(8), 1959-1981, (2019)

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