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arXiv · 2004.10567

Almost inner derivations of 2-step nilpotent Lie algebras of genus 2

Dietrich Burde·Karel Dekimpe·Bert Verbeke
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Abstract

We study almost inner derivations of $2$-step nilpotent Lie algebras of genus $2$, i.e., having a $2$-dimensional commutator ideal, using matrix pencils. In particular we determine all almost inner derivations of such algebras in terms of minimal indices and elementary divisors over an arbitrary algebraically closed field of characteristic not $2$ and over the real numbers.

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Dietrich Burde, Karel Dekimpe, Bert Verbeke. 2020-04-22. Almost inner derivations of 2-step nilpotent Lie algebras of genus 2. https://arxiv.org/abs/2004.10567

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