论文标题
广义氮杂晶体的阴暗面
The DARK side of generalized Demazure crystals
论文作者
论文摘要
NAOI表明,完美的Kirillov-Reshetikhin晶体的张量产品与某些广义氮杂晶体是同构的。我们扩展了NAOI的结果,以解决这些张量产品的杰出子集。在A型中,这些自然是用可katabolizable tableaux来描述的,这是解决Arxiv中Shimozono-Weyman和Chen-Haiman的猜想的关键:2007.04952。
Naoi showed that tensor products of perfect Kirillov-Reshetikhin crystals are isomorphic to certain generalized Demazure crystals. We extend Naoi's results to address distinguished subsets of these tensor products. In type A, these are naturally described in terms of katabolizable tableaux which was key to resolving conjectures of Shimozono-Weyman and Chen-Haiman in arXiv:2007.04952.