Post-Lie Algebras and Isospectral Flows

Published 10 May 2015 in math.RA, math-ph, and math.MP | (1505.02436v3)

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.

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