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This article is available for purchase or by subscription. See below.
Abstract
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Let
be a nonarchimedean local field of residual characteristic
and residue
degree
.
We study a certain type of diagram, called
cyclic diagrams, and
use them to show that the universal supersingular modules of
admit
infinitely many nonisomorphic irreducible admissible quotients.
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Keywords
supersingular representations, diagrams
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Mathematical Subject Classification
Primary: 22E50
Secondary: 11S37
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Milestones
Received: 1 December 2021
Revised: 28 September 2022
Accepted: 14 November 2022
Published: 21 March 2023
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| © 2022 MSP (Mathematical Sciences
Publishers). |
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