关于旗簇的B-典范分裂
代数几何
2010-05-26 v3 表示论
摘要
设是正特征代数闭域上的半单代数群。本文证明，的旗簇的一个不可约闭子簇被唯一的典范Frobenius分裂相容地分裂当且仅当它是一个Richardson簇，即一个Schubert簇与一个对偶Schubert簇的交集。
引用
@article{arxiv.0908.4354,
title = {On the B-canonical splittings of flag varieties},
author = {Chuck Hague},
journal= {arXiv preprint arXiv:0908.4354},
year = {2010}
}
备注
After obtaining this result, I was informed that Allen Knutson has also recently obtained a similar result. This version fixes an error in Lemma 2.7. To appear in J. Algebra