实 complete flag manifold 上两个 open opposite Schubert 细胞交集的 connected components
alg-geom
2008-02-03 v1 代数几何
摘要
在本文中，我们将计数实 complete flag manifold 上两个 opposite open Schubert 细胞交集 connected components 数的问题归约为纯组合学问题：计数具有 {0,1}-值条目 upper triangular 矩阵空间中某种神秘 group action 的 orbit 数的。我们的归约关键步骤使用了 Lusztig 和 Berenstein、Fomin、Zelevinski 引入的实 unipotent totally positive upper triangular 矩阵空间的参数化。
引用
@article{arxiv.alg-geom/9704013,
title = {Connected components in the intersection of two open opposite Schubert cells in real complete flag manifold},
author = {B. Shapiro and M. Shapiro and A. Vainshtein},
journal= {arXiv preprint arXiv:alg-geom/9704013},
year = {2008}
}
备注
AMSTeX, 22 pages with 13 figures, available via http://www.math.kth.se/~mshapiro/