Lie Algebra Prederivations and strongly nilpotent Lie Algebras
Rings and Algebras
2007-05-23 v1
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.
Cite
@article{arxiv.math/0409276,
title = {Lie Algebra Prederivations and strongly nilpotent Lie Algebras},
author = {Dietrich Burde},
journal= {arXiv preprint arXiv:math/0409276},
year = {2007}
}
Comments
13 pages