Completely Integrable Lax Pair equations for Connes-Kreimer Hopf algebra of rooted trees
Differential Geometry
2023-12-05 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We show the complete integrability of the Lax pair equations for certain low-dimensional Lie algebras of the infinitesimal character 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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Cite
@article{arxiv.2312.00901,
title = {Completely Integrable Lax Pair equations for Connes-Kreimer Hopf algebra of rooted trees},
author = {Gabriel Baditoiu},
journal= {arXiv preprint arXiv:2312.00901},
year = {2023}
}
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9 pages