67 citations · 211 across the 21 of their papers we have counts for
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math.CO2005
Grothendieck bialgebras, Partition lattices and symmetric functions in noncommutative variables
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosas +1
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative v…
math.CO2005★ 59 cited
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…