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arXiv · 1507.00137

The action of a compact Lie group on nilpotent Lie algebras of type {n,2}

Giovanni Falcone·Ágota Figula
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Abstract

We classify finite-dimensional nilpotent Lie algebras with $2$-dimensional central commutator ideals admitting a Lie group of automorphisms isomorphic to $SO_2(\mathbb R)$. This enables one to enlarge the class of nilpotent Lie algebras of type {n,2}.

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Giovanni Falcone, Ágota Figula. 2015-07-01. The action of a compact Lie group on nilpotent Lie algebras of type {n,2}. https://arxiv.org/abs/1507.00137

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