Derives combinatorial antipode formula for sub-adjacent Hopf algebra of universal enveloping algebra of post-Lie algebra via product twisting, closed inverse for Oudom-Guin isomorphism, and cancellation-free antipode for Grossman-Larson Hopf algebra of ordered trees.
Zhao, A noncommutative symmetric system over the Gros sman-Larson Hopf algebra of labeled rooted trees, J
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On the sub-adjacent Hopf algebra of the universal enveloping algebra of a post-Lie algebra
Derives combinatorial antipode formula for sub-adjacent Hopf algebra of universal enveloping algebra of post-Lie algebra via product twisting, closed inverse for Oudom-Guin isomorphism, and cancellation-free antipode for Grossman-Larson Hopf algebra of ordered trees.