The Cartan matrix and enumerative calculus

被引：2

作者：

Duan, HB ^{[1
]}

Zhao, XA

Zhao, XZ

机构：

[1] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China

[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[3] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 2004年 / 38卷 / 03期

关键词：

Cartan matrix; flag manifolds; Schubert calculus;

D O I：

10.1016/j.jsc.2004.03.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let G be a compact connected Lie group and P subset of G be the centralizer of a one-parameter subgroup in G. We explain a program that reduces integration along a Schubert variety in the flag manifold G/P to the Cartan matrix of G. As applications of the program, we complete the project of explicit computation of the degree and Chem number of an arbitrary Schubert variety started in Zhao and Duan (J. Symbolic Comput. 33 (2002) 507). (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1119 / 1144

页数：26

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