6 citations · 15 across the 9 of their papers we have counts for
Showing math.RAShow all
3 papers · 1 filter
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…
math.RA2005
On restricted Leibniz algebras
Ioannis Dokas, Jean-Louis Loday
In this paper we prove that in prime characteristic there is a functor from the category of diassociative algebras to the category of restricted Leibniz algebras, gene…
math.RA2004
Completing the operadic butterfly
Jean-Louis Loday
We complete a certain diagram (the operadic butterfly) of categories of algebras involving Com, As, and Lie by constructing a type of algebras which have 4 generating operations an…