%0 Journal Article %T Post-Lie Algebras and Isospectral Flows %A Kurusch Ebrahimi-Fard %A Alexander Lundervold %A Igor Mencattini %A Hans Z. Munthe-Kaas %J Mathematics %D 2015 %I arXiv %R 10.3842/SIGMA.2015.093 %X In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical $R$-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution of a post-Lie Magnus-type differential equation. %U http://arxiv.org/abs/1505.02436v3