Extensions of Lie algebras

By Dmitri Alekseevsky, Peter W. Michor, W. Ruppert. 2000

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We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomological obstruction to the existence of extensions. A striking analogy to the setting of covariant exterior derivatives, curvature, and the Bianchi identity in dierential geometry is spelled out.

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

View Paper: https://www.semanticscholar.org/paper/93b7ccd8c9b03df08d1871cd07bad9c6f92df63f