8 citations · 8 across the 5 of their papers we have counts for
5 papers
Enriched pre-Lie operads and freeness theorems
Vladimir Dotsenko, Loïc Foissy
In this paper, we study the C-enriched pre-Lie operad defined by Calaque and Willwacher for any Hopf cooperad C to produce conceptual constructions of the operads acting on various…
A divisibility result on combinatorics of generalized braids
Loïc Foissy, Jean Fromentin
For every finite Coxeter group , each positive braids in the corresponding braid group admits a unique decomposition as a finite sequence of elements of , the so-called Garsi…
On quadri-algebras
Loïc Foissy
WWe describe the Koszul dual of the operad Quad of quadri-algebras, show the koszularity of Quad and give the formal series of Quad and its dual, which proves a conjecture due to A…
Polynomial realizations of some combinatorial Hopf algebras
L. Foissy, J. -C. Novelli, J. -Y. Thibon
We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kind of trees or forests, and some more general classes of graphs, ranging from t…
Bidendriform bialgebras, trees, and free quasi-symmetric functions
Loïc Foissy
We introduce bidendriform bialgebras, which are bialgebras such that both product and coproduct can be split into two parts satisfying good compatibilities. For example, the Malven…