19 citations · 58 across the 9 of their papers we have counts for
7 papers · 1 filter
A multivariate "inv" hook formula for forests
Florent Hivert, Victor Reiner
Bjoerner and Wachs provided two q-generalizations of Knuth's hook formula counting linear extensions of forests: one involving the major index statistic, and one involving the inve…
Deformation of symmetric functions and the rational Steenrod algebra
Florent Hivert, Nicolas M. Thiéry
In 1999, Reg Wood conjectured that the quotient of Q[x_1,...,x_n] by the action of the rational Steenrod algebra is a graded regular representation of the symmetric group S_n. As p…
Multivariate generalizations of the Foata-Schutzenberger equidistribution
F. Hivert, J. -C. Novelli, J. -Y. Thibon
A result of Foata and Schutzenberger states that two statistics on permutations, the number of inversions and the inverse major index, have the same distribution on a descent class…
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…