The Cartier-Quillen-Milnor-Moore theorem in the Post-Hopf case

Published 17 Jan 2024 in math.CO and math.RA | (2401.09116v1)

Abstract: We give the definition of left/right Post-Lie algebras and left/right Post-Hopf algebras and establish a link between those objects. We get a Cartier-Quillen-Milnor-Moore theorem for Post-Hopf algebras. We give another description for free Post-Lie algebras and a description for Post-Lie algebras obtained from an associative product.

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Pierre Catoire

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