arXiv:2210.07283 Abstract | arXiv Analytics

arXiv:2210.07283 [math.RT]Abstract References Reviews Resources

On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$

Published 2022-10-13Version 1

Let $F$ be a non-archimedean local field of residual characteristic $p>3$ and residue degree $f>1$. We study a certain type of diagram, called \emph{cyclic diagrams}, and use them to show that the universal supersingular modules of $\mathrm{GL}_{2}(F)$ admit infinitely many non-isomorphic irreducible admissible quotients.

Comments: 11 pages

Categories: math.RT, math.NT

Subjects: 22E50, 11S37

Keywords: irreducible supersingular representations, non-archimedean local field, universal supersingular modules, residue degree, non-isomorphic irreducible admissible quotients

Related articles: Most relevant | Search more

arXiv:math/0504417 [math.RT] (Published 2005-04-20)

On Bernstein's presentation of Iwahori-Hecke algebras and representations of split reductive groups over non-Archimedean local fields

Amritanshu Prasad

arXiv:0812.4636 [math.RT] (Published 2008-12-26)

Character Sheaves of Algebraic Groups Defined over Non-Archimedean Local Fields

Clifton Cunningham, Hadi Salmasian

arXiv:1310.2585 [math.RT] (Published 2013-10-09, updated 2014-01-21)