For graded post-Lie structures on free Lie algebras, the coproduct dual to the Grossman-Larson product is given explicitly, yielding new dual Hopf algebra descriptions for the Ihara and ari brackets and a conjectural post-Lie model for the uri bracket.
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On post-Lie structures for free Lie algebras
For graded post-Lie structures on free Lie algebras, the coproduct dual to the Grossman-Larson product is given explicitly, yielding new dual Hopf algebra descriptions for the Ihara and ari brackets and a conjectural post-Lie model for the uri bracket.