4 papers · 1 filter
The extra slow Tamari lattice
Sylvie Corteel, Jihyeug Jang, Baptiste Rognerud
We introduce the extra slow Tamari lattices, a new family of lattices defined on faithfully balanced tableaux. These tableaux arise naturally from the representation theory of type…
Bijections for rhombic alternative tableaux
Sylvie Corteel, Jang Soo Kim, Olya Mandelshtam +1
We generalize well-known bijections between alternative tableaux and permutations to bijections between rhombic alternative tableaux (RAT) and assemblées of permutations. We show…
Crystal skeletons: Combinatorics and axioms
Sarah Brauner, Sylvie Corteel, Zajj Daugherty +1
Crystal skeletons were introduced by Maas-Gariépy in 2023 by contracting quasi-crystal components in a crystal graph. On the representation theoretic level, crystal skeletons mode…
Decorated square paths at q=-1
Sylvie Corteel, Alexander Lazar, Anna Vanden Wyngaerd
The valley Delta square conjecture states that the symmetric function can be expressed as the enumerator of a certain class of decorated…