21 citations · 267 across the 50 of their papers we have counts for
4 papers · 1 filter
Virtualization map for the Littelmann path model
Jianping Pan, Travis Scrimshaw
We show the natural embedding of weight lattices from a diagram folding is a virtualization map for the Littelmann path model, which recovers a result of Kashiwara. As an applicati…
Rigged configurations for all symmetrizable types
Ben Salisbury, Travis Scrimshaw
In an earlier work, the authors developed a rigged configuration model for the crystal (which also descends to a model for irreducible highest weight crystals via a cut…
Connecting marginally large tableaux and rigged configurations via crystals
Ben Salisbury, Travis Scrimshaw
We show that the bijection from rigged configurations to tensor products of Kirillov-Reshetikhin crystals extends to a crystal isomorphism between the models given by r…
A crystal to rigged configuration bijection and the filling map for type
Travis Scrimshaw
We give a bijection from rigged configurations to a tensor product of Kirillov--Reshetikhin crystals of the form and in type . We show that the c…