133 citations · 1.4k across the 77 of their papers we have counts for
4 papers · 1 filter
The non-symmetric operad pre-Lie is free
Nantel Bergeron, Muriel Livernet
We prove that the pre-Lie operad is a free non-symmetric operad.
Hyperoctahedral species
Nantel Bergeron, Philippe Choquette
We introduce a new definition for the species of type B, or H-species, analog to the classical species (of type A), but on which we consider the action of the groups Bn of signed p…
A Filtration of (q,t)-Catalan numbers
N. Bergeron, F. Descouens, M. Zabrocki
We define new generalizations of (q,t)-Catalan numbers applying nabla operator on k-Schur functions indexed by column partitions. In some special cases, we give a combinatorial int…
A non-commutative generalization of -Schur functions
N. Bergeron, F. Descouens, M. Zabrocki
We introduce non-commutative analogues of -Schur functions of Lapointe-Lascoux and Morse. We give an explicit formulas for the expansions of non-commutive functions with one and…