Schubert Varieties and Free Braidedness

被引：0
|
作者：
R.M. Green
J. Losonczy
机构：
[1] Department of Mathematics,
[2] University of Colorado,undefined
[3] Campus Box 395,undefined
[4] Boulder,undefined
[5] CO 80309-0395,undefined
[6] Department of Mathematics,undefined
[7] Long Island University,undefined
[8] 720 Northern Boulevard,undefined
[9] Brookville,undefined
[10] NY 11548-1319,undefined
来源：
Transformation Groups | 2004年 / 9卷
关键词：
Topological Group; Weyl Group; Schubert Variety; Smooth Schubert Variety; Braided Element;
D O I：
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中图分类号：
学科分类号：
摘要：
We give a simple necessary and sufficient condition for a Schubert variety Xw to be smooth when w is a freely braided element of a simply laced Weyl group; such elements were introduced by the authors in a previous work. This generalizes in one direction a result of Fan concerning varieties indexed by short-braid avoiding elements. We also derive generating functions for the freely braided elements that index smooth Schubert varieties. All results are stated and proved only for the simply laced case.
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页码：327 / 336
页数：9
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