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arxiv: 1602.03298 · v1 · pith:GWK5TIL5new · submitted 2016-02-10 · 🧮 math.RA · math.AT

Isoclinic Lie Crossed Modules

classification 🧮 math.RA math.AT
keywords crossedmodulesintroduceisoclinismnotionactoradditionallyalgebras
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We introduce the notion of isoclinism among crossed modules of Lie algebras, which will be called "Lie crossed modules" hereafter, and investigate some basic properties. Additionally, we introduce the notion of class preserving actor of a Lie crossed module and the relation with isoclinism.

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