12 citations · 29 across the 3 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.…
An analogue of the plactic monoid for binary search trees
Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon
We introduce a monoid structure on a certain set of labelled binary trees, by a process similar to the construction of the plactic monoid. This leads to a new interpretation of the…
Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters
F. Hivert, A. Lascoux, J. -Y. Thibon
We define two-parameter families of noncommutative symmetric functions and quasi-symmetric functions, which appear to be the proper analogues of the Macdonald symmetric functions i…