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arXiv · 0806.3534

Metric Lie n-algebras and double extensions

José Figueroa-O'Farrill
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Abstract

We prove a structure theorem for Lie n-algebras possessing an invariant inner product. We define the notion of a double extension of a metric Lie n-algebra by another Lie n-algebra and prove that all metric Lie n-algebras are obtained from the simple and one-dimensional ones by iterating the operations of orthogonal direct sum and double extension.

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BibTeXRIS

José Figueroa-O'Farrill. 2008-06-21. Metric Lie n-algebras and double extensions. https://arxiv.org/abs/0806.3534

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