Post-Lie Algebras and Isospectral Flows

[摘要] 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.

[关键词] isospectral flow equation;R-matrix;Magnus expansion;post-Lie algebra