Post-Lie Algebras and Isospectral Flows

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Ebrahimi-Fard, K., Lundervold, A., Mencattini, I., Munthe-Kaas, H.Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147113
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Post-Lie Algebras and Isospectral Flows / K. Ebrahimi-Fard, A. Lundervold, I. Mencattini, H.Z. Munthe-Kaas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ.

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.