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Post-Lie Algebras and Isospectral Flows

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arxiv 1505.02436 v3 pith:FHYCPVNJ submitted 2015-05-10 math.RA math-phmath.MP

Kurusch Ebrahimi-Fard , Alexander Lundervold , Igor Mencattini , Hans Z. Munthe-Kaas This is my paper · ORCID
classification math.RAmath-phmath.MP
keywords post-liealgebrasolutionalgebrasbracketclassicalcorrespondingderived
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 19 citations worldwide. Full citation record

  1. Backward error analysis for matrix discretizations of 2-D Euler equations

    math.NA 2026-07 accept novelty 8.0 of 10

    ISOSYRK methods on Zeitlin’s Euler–Zeitlin system admit n-independent exponentially small modified-Hamiltonian errors for times exp(c/ε) when h = ε ℏ_n.

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