3 papers
math.CO2025
Ornamentation lattices and intreeval hypergraphic lattices
Antoine Abram, Jose Bastidas, Félix Gélinas +2
Given a directed graph with transitive closure and path hypergraph , we study the connections between the (acyclic) reorientation poset of…
math.CO2025
Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements
Jose Bastidas, Sarah Brauner, Mathieu Guay-Paquet +3
Given a permutation, there is a well-developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initi…
math.CO2025
The -polynomials of type C hypersimplices
Antoine Abram, Jose Bastidas
We study the Ehrhart theory of hypersimplices of type C, as introduced by Lam and Postnikov for general crystallographic root systems. The -polynomials of classical hypersimpl…