Functor morphing and representations of automorphism groups of modules
Representation Theory
2024-11-26 v2
Abstract
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 that facilitates a stratification of their irreducible representations in terms of smaller building blocks using symmetric monoidal categories and invariant theory.
Keywords
Cite
@article{arxiv.2308.03248,
title = {Functor morphing and representations of automorphism groups of modules},
author = {Tyrone Crisp and Ehud Meir and Uri Onn},
journal= {arXiv preprint arXiv:2308.03248},
year = {2024}
}
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