Commutative post-Lie algebra structures on Lie algebras
Rings and Algebras
2015-12-17 v1
Abstract
We show that any CPA-structure (commutative post-Lie algebra structure) on a perfect Lie algebra is trivial. Furthermore we give a general decomposition of inner CPA-structures, and classify all CPA-structures on parabolic subalgebras of simple Lie algebras.
Cite
@article{arxiv.1512.05096,
title = {Commutative post-Lie algebra structures on Lie algebras},
author = {Dietrich Burde and Wolfgang Alexander Moens},
journal= {arXiv preprint arXiv:1512.05096},
year = {2015}
}