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math.RT2023
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…
math.RT2023
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…