Completely Integrable Lax Pair equations for Connes-Kreimer Hopf algebra of rooted trees
Abstract
We show the complete integrability of the Lax pair equations for certain low-dimensional Lie algebras of the infinitesimal character β0 introduced in the paper Lax pair equations and Connes-Kreimer renormalization, by G. Baditoiu and S. Rosenberg, Comm. Math. Phys. 296 (2010), 655--680.
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