Post-Lie Algebras and Isospectral Flows

Abstract

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.

References in corpus (1)

• Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion

Cited by in corpus (7)

• What is a post-Lie algebra and why is it useful in geometric integration
• Post-Lie algebras and factorization theorems
• The Magnus expansion and Post-Lie algebras
• Post-symmetric braces and integration of post-Lie algebras
• Combinatorial Hopf algebra for interconnected nonlinear systems
• Post-Lie Algebras, Factorization Theorems and Isospectral-Flows
• Biderivations of Lie algebras