Demazure structure inside Kirillov-Reshetikhin crystals
量子代数
2008-11-26 v1 表示论
摘要
The conjecturally perfect Kirillov-Reshetikhin (KR) crystals are known to be isomorphic as classical crystals to certain Demazure subcrystals of crystal graphs of irreducible highest weight modules over affine algebras. Under some assumptions we show that the classical isomorphism from the Demazure crystal to the KR crystal, sends zero arrows to zero arrows. This implies that the affine crystal structure on these KR crystals is unique.
关键词
引用
@article{arxiv.math/0605451,
title = {Demazure structure inside Kirillov-Reshetikhin crystals},
author = {Ghislain Fourier and Anne Schilling and Mark Shimozono},
journal= {arXiv preprint arXiv:math/0605451},
year = {2008}
}
备注
17 pages