Lie Algebra Prederivations and strongly nilpotent Lie Algebras

Dietrich Burde

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arXiv · math/0409276

Lie Algebra Prederivations and strongly nilpotent Lie Algebras

Dietrich Burde

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Abstract

We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation. The results can be applied to construct affine structures on Lie algebras.

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Dietrich Burde. 2004-09-16. Lie Algebra Prederivations and strongly nilpotent Lie Algebras. https://arxiv.org/abs/math/0409276

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