Virtualization map for the Littelmann path model
Representation Theory
2019-02-26 v4 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.1509.08103,
title = {Virtualization map for the Littelmann path model},
author = {Jianping Pan and Travis Scrimshaw},
journal= {arXiv preprint arXiv:1509.08103},
year = {2019}
}
Comments
14 pages, 1 figure; corrected statement of Theorem 4.2 in v3; minor corrections from referee report in v4