Toric degenerations of Schubert varieties

被引：57

作者：

Caldero, P ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France

来源：

TRANSFORMATION GROUPS | 2002年 / 7卷 / 01期

关键词：

D O I：

10.1007/s00031-002-0003-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simply connected semisimple complex algebraic group. We prove that every Schubert variety of G has a flat degeneration into a toric variety. This provides a generalization of results of [9], [7], [6]. Our basic tool is Lusztig's canonical basis and the string parametrization of this basis.

引用

页码：51 / 60

页数：10

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