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arXiv · 2308.03248

Functor morphing and representations of automorphism groups of modules

Tyrone Crisp·Ehud Meir·Uri Onn
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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.

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Tyrone Crisp, Ehud Meir, Uri Onn. 2023-08-07. Functor morphing and representations of automorphism groups of modules. https://arxiv.org/abs/2308.03248

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