Algorithm for multiplying Schubert classes

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	Algorithm for multiplying Schubert classes
	Duan, Haibao; Zhao, Xuezhi
	2006-12-01
发表期刊	INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
ISSN	0218-1967
卷号	16 期号:6 页码:1197-1210
摘要	Based on the formula for multiplying Schubert classes obtained in [17], we develop an algorithm computing the product of two arbitrary Schubert classes in a flag manifold G/H, where G is a compact connected Lie group and H C G is the centralizer of a one-parameter subgroup in G. Since all Schubert classes on G/H constitute a basis for the integral cohomology H(G/H), the algorithm gives also a method to compute the integral cohomology ring H(G/H) independent of the classical spectral sequence method of Leray and Borel [32, 33, 8, 9].
关键词	flag manifolds Schubert varieties cohomology Cartan matrix
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000243702300010
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3345
专题	数学所
通讯作者	Duan, Haibao
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, Haibao,Zhao, Xuezhi. Algorithm for multiplying Schubert classes[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION,2006,16(6):1197-1210.
APA	Duan, Haibao,&Zhao, Xuezhi.(2006).Algorithm for multiplying Schubert classes.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION,16(6),1197-1210.
MLA	Duan, Haibao,et al."Algorithm for multiplying Schubert classes".INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 16.6(2006):1197-1210.