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Completely Integrable Lax Pair equations for Connes-Kreimer Hopf algebra of rooted trees

Published 1 Dec 2023 in math.DG, math-ph, math.MP, and nlin.SI | (2312.00901v1)

Abstract: We show the complete integrability of the Lax pair equations for certain low-dimensional Lie algebras of the infinitesimal character $\tilde\beta_0$ introduced in the paper \emph{Lax pair equations and {C}onnes-{K}reimer renormalization}, by G. B{\u{a}}di{\c{t}}oiu and S. Rosenberg, Comm. Math. Phys. \textbf{296} (2010), 655--680.

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