59 citations · 217 across the 34 of their papers we have counts for
3 papers · 1 filter
P-partitions and a multi-parameter Klyachko idempotent
Peter McNamara, Christophe Reutenauer
Because they play a role in our understanding of the symmetric group algebra, Lie idempotents have received considerable attention. The Klyachko idempotent has attracted interest f…
Sturmian morphisms, the braid group B_4, Christoffel words and bases of F_2
Christian Kassel, Christophe Reutenauer
We give a presentation by generators and relations of a certain monoid generating a subgroup of index two in the group Aut(F_2) of automorphisms of the rank two free group F_2 and…
Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables
Nantel Bergeron, Christophe Reutenauer, Mercedes Rosas +1
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions which was recently studied as a vector space by Rosas and Sagan. The bases for this…