From the 1 of 8 linked papers with an AI index.
8 papers
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…
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, Hélène Barcelo, François Bergeron +18
The paper is a biographical tribute honoring the life and career of mathematician Adriano Garsia, outlining his personal background, education, and academic positions.
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}…
Interval hypergraphic lattices
Nantel Bergeron, Vincent Pilaud
For a hypergraph on , the hypergraphic poset is the transitive closure of the oriented skeleton of the hypergraphic polytope …
The quasisymmetric flag variety: a toric complex on noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set…