Derivation double Lie algebras
Rings and Algebras
2015-03-02 v2
Abstract
We study classical R-matrices D for Lie algebras L such that D is also a derivation of L. This yields derivation double Lie algebras (L,D). The motivation comes from recent work on post-Lie algebra structures on pairs of Lie algebras arising in the study of nil-affine actions of Lie groups. We prove that there are no nontrivial simple derivation double Lie algebras, and study related Lie algebra identities for arbitrary Lie algebras.
Cite
@article{arxiv.1411.0950,
title = {Derivation double Lie algebras},
author = {Dietrich Burde},
journal= {arXiv preprint arXiv:1411.0950},
year = {2015}
}