2018 journal article

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VIRTUALIZATION MAP FOR THE LITTELMANN PATH MODEL

Transformation Groups, 23(4), 1045–1061.

By: J. Pan^*  & T. Scrimshaw ^*

co-author countries: United States of America 🇺🇸

10.1007/s00031-017-9456-3

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Source: ORCID

Added: March 30, 2023

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.