4 papers
Structure and geometry of the tableaux algebra
Spencer Daugherty, Nicolle González, Bárbara Muniz +3
We study the monoid algebra of semistandard Young tableaux, which coincides with the Gelfand--Tsetlin semigroup ring when . Among…
Keys and Evacuation via Virtualization
Olga Azenhas, Nicolle González, Daoji Huang +1
In this paper, we study the relation between the key map and virtualization of crystals. Namely, we prove that virtualization between crystals in any two finite Cartan types commut…
Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions
Lara Bossinger, Jacinta Torres
We present n-1 different embeddings of string polytopes of type A. We characterize their compatibility with the crystal structure on the string polytopes, and formulate a conjectur…
The branching models of Kwon and Sundaram via flagged hives
V. Sathish Kumar, Jacinta Torres
We prove a bijection between the branching models of Kwon and Sundaram, conjectured previously by Lenart-Lecouvey. To do so, we use a symmetry of Littlewood-Richardson coefficients…