Virtualization map for the Littelmann path model

31 Oct 2017  ·  Pan Jianping, Scrimshaw Travis ·

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 application, we give a type independent proof that certain Kirillov--Reshetikhin crystals respect diagram foldings, which is a known result on a special case of a conjecture given by Okado, Schilling, and Shimozono...

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Representation Theory Combinatorics