On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$
Representation Theory
2023-03-22 v1 Number Theory
Abstract
Let be a non-archimedean local field of residual characteristic and residue degree . We study a certain type of diagram, called \emph{cyclic diagrams}, and use them to show that the universal supersingular modules of admit infinitely many non-isomorphic irreducible admissible quotients.
Keywords
Cite
@article{arxiv.2210.07283,
title = {On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$},
author = {Mihir Sheth},
journal= {arXiv preprint arXiv:2210.07283},
year = {2023}
}
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11 pages