2 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
Primitive elements in infinitesimal bialgebras
Dalia Artenstein, Ana González, María Ronco
For any set S, the free magmatic algebra spanned by card(S) binary products is the vector space spanned by the set of all planar rooted binary trees with the internal nodes colored…
Species substitution, graph suspension, and graded Hopf algebras of painted tree polytopes
Lisa Berry, Stefan Forcey, Maria Ronco +1
Combinatorial Hopf algebras of trees exemplify the connections between operads and bialgebras. Painted trees were introduced recently as examples of how graded Hopf operads can beq…
Algebraic structures defined on -Dyck paths
Daniel López N., Louis-François Préville-Ratelle, María Ronco
We introduce natural binary set-theoretical products on the set of all -Dyck paths, which led us to define a non-symmetric algebraic operad $\Dy^m$, described on the vector spac…
Free algebraic structures on the permutohedra
E. Burgunder, P. -L. Curien, M. Ronco
Tridendriform algebras are a type of associative algebras, introduced independently by F. Chapoton and by J.-L. Loday and the third author, in order to describe operads related to…