Matthew Chaffe

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20222025

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math.RT2023

Modular Representations of Truncated current Lie algebras

Matthew Chaffe, Lewis Topley

In this paper we consider the structure and representation theory of truncated current algebras $g_{m} = g [t] / (t^{m + 1})$ associated to the Lie algebra $\mathfra…

math.RT2022

Category O for Takiff Lie algebras

Matthew Chaffe

We study category $O$ for Takiff Lie algebras $g \otimes C [ε] / (ε^{2})$ where $g$ is the Lie algebra of a reductive algebraic group over $\mat…