4 papers
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…
Residual Intersections and Schubert Varieties
Sara Angela Filippini, Xianglong Ni, Jacinta Torres +1
Inspired by the work of Ulrich and Huneke-Ulrich, we describe a pattern to show that the ideals of certain opposite embedded Schubert varieties defined by this pattern arise by tak…
Atoms and charge in type
Leonardo Patimo, Jacinta Torres
We construct atomic decompositions for crystals of type and define a charge statistic on them, thus providing positive combinatorial formulas for Kostka-Foulkes polynomials…
The virtual cactus group and Littelmann paths
Jacinta Torres
We define a virtual cactus group and show that the cactus group action on Littelmann paths is compatible with the virtualization map defined by Pan-Scrimshaw \cite{PS18}. Our defin…