John Cullinan

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math.RT2024

Unisingular Specht Modules

John Cullinan

Let $G$ be a finite group and $Ï:G \to \GL(V)$ a finite dimensional representation of $G$ . We say that $I ¨ $ is unisingular if $det (1 - I ¨ (g)) = 0$ for all $g \in G$ . Building on pr…

math.RT2024

On the modular Plesken Lie algebra

John Cullinan

Let G be a finite group. The Plesken Lie algebra L[G] is a subalgebra of the complex group algebra C[G] and admits a direct-sum decomposition into simple Lie algebras based on the…