133 citations · 1.4k across the 77 of their papers we have counts for
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Combinatorial Hopf algebras and Towers of Algebras
Nantel Bergeron, Thomas Lam, Huilan Li
Bergeron and Li have introduced a set of axioms which guarantee that the Grothendieck groups of a tower of algebras can be endowed with the structure of grad…
Isometry classes of generalized associahedra
Nantel Bergeron, Christophe Hohlweg, Carsten Lange +1
Let be a finite Coxeter system acting by reflections on an -Euclidean space with simple roots $Δ=\{\a_s | s\in S\}$ of the same length and fundamental weights $Δ…
A combinatorial basis for the free Lie algebra of the labelled rooted trees
Nantel Bergeron, Muriel Livernet
The pre-Lie operad can be realized as a space T of labelled rooted trees. A result of F. Chapoton shows that the pre-Lie operad is a free twisted Lie algebra. That is, the S-module…
On the Descent Algebra of Type
N. Bergeron, S. J. van Willigenburg
Here we give a combinatorial interpretation of Solomon's rule for multiplication in the descent algebra of Weyl groups of type , . From here we show that is a homom…