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arXiv · 2311.07489

Twisted Commutators and Internal Crossed Modules

Bo Shan Deval·Tim Van der Linden
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Abstract

We introduce a notion of relative commutator -- an important special case being commutators twisted by an action -- as a straightforward modification of the definition of the Higgins commutator, establish its relation with a new notion of commutativity -- also obtained as a modification of the usual notion -- and show how we can use it to characterise internal crossed modules in the context of a semi-abelian category.

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Bo Shan Deval, Tim Van der Linden. 2023-11-13. Twisted Commutators and Internal Crossed Modules. https://doi.org/10.32513/asetmj%2F1932200824027

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