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arxiv: 1505.02436 · v3 · pith:FHYCPVNJnew · submitted 2015-05-10 · 🧮 math.RA · math-ph· math.MP

Post-Lie Algebras and Isospectral Flows

classification 🧮 math.RA math-phmath.MP
keywords post-liealgebrasolutionalgebrasbracketclassicalcorrespondingderived
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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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