On Lie Algebra Crossed Modules

By Friedrich Wagemann. 2006

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Abstract The goal of this article is to construct a crossed module representing the cocycle ⟨[,],⟩ generating H 3(𝔤;ℂ) for a simple complex Lie algebra 𝔤.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/34aa431d5f08db5f56adee04333bd8ddaf54013d