61 citations · 198 across the 22 of their papers we have counts for
25 papers
Representation zeta functions of groups of type in positive characteristic
Uri Onn, Amritanshu Prasad, Pooja Singla
We prove two conjectures regarding the representation growth of groups of type . The first, conjectured by Avni, Klopsch, Onn and Voll, regards the uniformity of representatio…
Functor morphing and representations of automorphism groups of modules
Tyrone Crisp, Ehud Meir, Uri Onn
We introduce a strategy to study irreducible representations of automorphism groups of finite modules over local rings. We prove that these automorphism groups fit in a hierarchy t…
An inductive approach to representations of general linear groups over compact discrete valuation rings
Tyrone Crisp, Ehud Meir, Uri Onn
In his seminal Lecture Notes in Mathematics published in 1981, Andrey Zelevinsky introduced a new family of Hopf algebras which he called {\em PSH-algebras}. These algebras were de…
Principal series for general linear groups over finite commutative rings
Tyrone Crisp, Ehud Meir, Uri Onn
We construct, for any finite commutative ring , a family of representations of the general linear group whose intertwining properties mirror those of the prin…
A variant of Harish-Chandra functors
Tyrone Crisp, Ehud Meir, Uri Onn
Harish-Chandra induction and restriction functors play a key role in the representation theory of reductive groups over finite fields. In this paper, extending earlier work of Dat,…
Regular characters of groups of type A_n over discrete valuation rings
Roi Krakovski, Uri Onn, Pooja Singla
Let O be a complete discrete valuation ring with finite residue field k of odd characteristic. Let G be a general or special linear group or a unitary group defined over O and let…