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math.QA2006★ 1 cited
Generalized bialgebras and triples of operads
Jean-Louis Loday
We introduce the notion of generalized bialgebra, which includes the classical notion of bialgebra (Hopf algebra) and many others. We prove that, under some mild conditions, a conn…
math.RA2006
Coassociative magmatic bialgebras and the Fine numbers
Ralf Holtkamp, Jean-Louis Loday, Maria Ronco
We prove a structure theorem for the connected coassociative magmatic bialgebras. The space of primitive elements is an algebra over an operad called the primitive operad. We prove…