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math.RT2024
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…
math.RT2024
Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension
I. Heckenberger, E. Meir, L. Vendramin
Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols alg…
math.RT2024
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…