133 citations · 1.4k across the 77 of their papers we have counts for
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Schubert Polynomials and -Schur functions
Carolina Benedetti, Nantel Bergeron
The main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type by a Schur function, which we refer to as Schubert vs. Schur problem,…
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We introduce a new basis of the non-commutative symmetric functions whose commutative images are Schur functions. Dually, we build a basis of the quasi-symmetric functions which ex…
Hopf monoids from class functions on unitriangular matrices
Marcelo Aguiar, Nantel Bergeron, Nathaniel Thiem
We build, from the collection of all groups of unitriangular matrices, Hopf monoids in Joyal's category of species. Such structure is carried by the collection of class function sp…