Work

Twisted commutators and internal crossed modules

Year: 2024

Type: article

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.

Source: Advanced Studies Euro-Tbilisi Mathematical Journal

DOI: 10.32513/asetmj/1932200824027

Authors: Bo Shan Deval, Tim Van der Linden

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fonds De La Recherche Scientifique - FNRS, Fonds pour la Formation à la Recherche dans l’Industrie et dans l’Agriculture

OpenAlex ID: W4404257583

FWCI:

Cites: 29

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Related to: 10