3 papers
math.CO2026
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 h…
math.CO2025
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 model…
math.CO2024
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 sq…