133 citations · 1.4k across the 77 of their papers we have counts for
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Finite noncommutative coinvariant algebras
Farid Aliniaeifard, Nantel Bergeron, Huilan Li +1
We study quotients of free associative algebras by the two-sided ideals generated by positive-degree symmetric, quasisymmetric, or free quasisymmetric polynomials. Free quasisymmet…
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
A Hopf algebra on permutations with a coupling product
Huilan Li, Yishuo Yang, Nantel Bergeron
We define a coupling product and a draw coproduct on permutations and show that they define a graded, connected, cocommutative, free Hopf algebra . In characteristic z…
The Quasisymmetric Grassmannian
Nantel Bergeron, Lucas Gagnon, Hunter Spink +1
We construct a complex of toric varieties we call the quasisymmetric Grassmannian inside the Grassmannian of -planes in . Each irreducible component is a positroid…
The Coxeter Flag Variety
Nantel Bergeron, Lucas Gagnon, Hunter Spink +1
For a Coxeter element in a Weyl group , we define the -Coxeter flag variety as the union of left-translated Richardson varieties $w^{-1}…