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arXiv · 1112.0109

Minimal algebras and $2-$step nilpotent Lie algebras in dimension 7

Giovanni Bazzoni
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Abstract

We use the methods of \cite{BM} to give a classification of $7-$dimensional minimal algebras, generated in degree 1, over any field $\bk$ of characteristic $\textrm{char}(\bk)\neq 2$, whose characteristic filtration has length 2. Equivalently, we classify $2-$step nilpotent Lie algebras in dimension 7. This classification also recovers the real homotopy type of $7-$dimensional $2-$step nilmanifolds.

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Giovanni Bazzoni. 2011-12-01. Minimal algebras and $2-$step nilpotent Lie algebras in dimension 7. https://arxiv.org/abs/1112.0109

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