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math.RA2007★ 17 cited
Planar trees, free nonassociative algebras, invariants, and elliptic integrals
Vesselin Drensky, Ralf Holtkamp
We consider absolutely free nonassociative algebras and, more generally, absolutely free algebras with (maybe infinitely) many multilinear operations. Such algebras are described i…
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…