On supersingular representations of $GL_2(D)$ with a division algebra $D$ over a $p$-adic field
Representation Theory
2023-02-16 v1
Abstract
We investigate the mod- supersingular representations of , where is a division algebra over a -adic field with characteristic 0, by computing a basis for the vector space of the pro- Iwahori subgroup invariants of a certain quotient of a compact induction. This work generalizes the results of Hendel and Schein.
Keywords
Cite
@article{arxiv.2302.07428,
title = {On supersingular representations of $GL_2(D)$ with a division algebra $D$ over a $p$-adic field},
author = {Wijerathne Mudiyanselage Menake Wijerathne},
journal= {arXiv preprint arXiv:2302.07428},
year = {2023}
}