The Image of Functor Morphing
Representation Theory
2026-03-30 v1 Category Theory
Rings and Algebras
Abstract
Functor morphing provides a method to translate complex representations of automorphism groups of finite modules over finite rings to representations of automorphism groups of functors in some abelian category. In this paper we give an explicit criterion for a representation to be in the image of functor morphing using the action of parabolic subgroups. We then demonstrate this criterion on Borel groups of finite fields.
Cite
@article{arxiv.2603.26368,
title = {The Image of Functor Morphing},
author = {Ehud Meir},
journal= {arXiv preprint arXiv:2603.26368},
year = {2026}
}