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math.QA2004★ 6 cited
On the structure of cofree Hopf algebras
Jean-Louis Loday, Maria Ronco
We prove an analogue of the Poincare'-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra…
math.QA2003
Quadri-algebras
Marcelo Aguiar, Jean-Louis Loday
We introduce the notion of quadri-algebras. These are associative algebras for which the multiplication can be decomposed as the sum of four operations in a certain coherent manner…