Post-Lie Algebras and Isospectral Flows

Symmetry Integrability and Geometry-Methods and Applications

article

Kurusch Ebrahimi-Fard¹  Alexander Lundervold²  Igor Mencattini³  Hans Z. Munthe-Kaas⁴ 

[1] ICMAT;Department of Computing, Faculty of Engineering, Bergen University College;Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos;Department of Mathematics, University of Bergen

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

DOI  :  10.3842/SIGMA.2015.093

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown