Cuspidal representations which are not strongly cuspidal

Simple item page
dc.creatorStasinski, Alexander
dc.date2007-10-16
dc.date.accessioned2026-07-07T08:36:41Z
dc.date.available2026-07-07T08:36:41Z
dc.descriptionWe give a description of all the cuspidal representations of $\mathrm{GL}_4(\mathfrak{o}_2)$, where $\mathfrak{o}_2$ is a finite ring coming from the ring of integers in a local field, modulo the square of its maximal ideal $\mathfrak{p}$. This shows in particular the existence of representations which are cuspidal, yet are not strongly cuspidal, that is, do not have orbit with irreducible characteristic polynomial mod $\mathfrak{p}$. It has been shown by Aubert, Onn, and Prasad that this phenomenon cannot occur for $\mathrm{GL}_n$, when $n$ is prime.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0710.3146
dc.identifierhttp://arxiv.org/abs/0710.3146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140146
dc.subjectRepresentation Theory
dc.titleCuspidal representations which are not strongly cuspidal
dc.typetext

Files

Collections

arXiv