25 citations · 64 across the 4 of their papers we have counts for
4 papers
Commutative Hopf algebras of permutations and trees
F. Hivert, J. -C. Novelli, J. -Y. Thibon
We propose several constructions of commutative or cocommutative Hopf algebras based on various combinatorial structures, and investigate the relations between them. A commutative…
Representation theory of the 0-Ariki-Koike-Shoji algebras
F. Hivert, J. -C. Novelli, J. -Y. Thibon
We investigate the representation theory of certain specializations of the Ariki-Koike algebras, obtained by setting in a suitably normalized version of Shoji's presentation.…
Free quasi-symmetric functions of arbitrary level
Jean-Christophe Novelli, Jean-Yves Thibon
We introduce analogues of the Hopf algebra of Free quasi-symmetric functions with bases labelled by colored permutations. As applications, we recover in a simple way the descent al…
A Hopf algebra of parking functions
Jean-Christophe Novelli, Jean-Yves Thibon
If the moments of a probability measure on are interpreted as a specialization of complete homogeneous symmetric functions, its free cumulants are, up to sign, the correspondi…