所有经典型的两行 Springer 纤维的不可约分支
表示论
2022-02-01 v2
摘要
我们利用杯图给出了所有经典型的两行 Springer 纤维的不可约分支的显式描述。杯图可用于标记两行 Springer 纤维的不可约分支。给定一个杯图，我们显式写出包含于该杯图所关联分支中的所有旗。这将 Stroppel--Webster 和 Fung 的结果推广到了所有经典型。
关键词
引用
@article{arxiv.2011.13138,
title = {Irreducible components of two-row Springer fibers for all classical types},
author = {Mee Seong Im and Chun-Ju Lai and Arik Wilbert},
journal= {arXiv preprint arXiv:2011.13138},
year = {2022}
}
备注
15 pages. To appear in Proc. Amer. Math. Soc. Some of the results contained were originally available in the unpublished manuscript arXiv:1910.03010 via Nakajima quiver varieties. We would like to thank Dongkwan Kim for pointing out that it can be obtained more efficiently without using the quiver variety. It has therefore been split off from the original preprint