67 citations · 211 across the 21 of their papers we have counts for
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Resolutions of De Concini-Procesi ideals indexed by hooks
Riccardo Biagioli, Sara Faridi, Mercedes Rosas
We find a minimal generating set for the De Concini-Procesi ideals indexed by hooks, and study their minimal free resolutions as well as their Hilbert series and regularity.
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…
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…