Kazhdan-Lusztig多项式P_{id,w}(q)=1+q^h的置换
代数几何
2012-01-31 v1 组合数学
摘要
利用Cortez引入的奇点解消以及Polo提出的计算Kazhdan-Lusztig多项式的方法，我们证明了Billey和Braden关于置换w的猜想，该猜想刻画了满足Kazhdan-Lusztig多项式P_{id,w}(q)=1+q^h（对某个h）的置换。
引用
@article{arxiv.0809.2374,
title = {Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h},
author = {Alexander Woo and Sara Billey and Jonathan Weed},
journal= {arXiv preprint arXiv:0809.2374},
year = {2012}
}
备注
30 pages, 8 figures. Main body is by Woo, appendix by Billey and Weed