Metric Lie n-algebras and double extensions
Representation Theory
2008-06-24 v1 High Energy Physics - Theory
Rings and Algebras
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.
Cite
@article{arxiv.0806.3534,
title = {Metric Lie n-algebras and double extensions},
author = {José Figueroa-O'Farrill},
journal= {arXiv preprint arXiv:0806.3534},
year = {2008}
}
Comments
10 pages