The Chow Rings of Generalized Grassmannians

doi:10.1007/s10208-010-9058-0

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	The Chow Rings of Generalized Grassmannians
	Duan, Haibao1 ; Zhao, Xuezhi 2,3
	2010-06-01
发表期刊	FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
ISSN	1615-3375
卷号	10 期号:3 页码:245-274
摘要	Based on the basis theorem of Bruhat-Chevalley (in Algebraic Groups and Their Generalizations: Classical Methods, Proceedings of Symposia in Pure Mathematics, vol. 56 (part 1), pp. 1-26, AMS, Providence, 1994) and the formula for multiplying Schubert classes obtained in (Duan, Invent. Math. 159:407-436, 2005) and programmed in (Duan and Zhao, Int. J. Algebra Comput. 16:1197-1210, 2006), we introduce a new method for computing the Chow rings of flag varieties (resp. the integral cohomology of homogeneous spaces). The method and results of this paper have been extended in (Duan and Zhao, arXiv:math.AT/0801.2444 and arXiv:math.AT/0711.2541 http://arxiv.org/abs/arXiv:math.AT/0711.2541 ) to obtain the integral cohomology rings of all complete flag manifolds, and to construct the integral cohomologies of Lie groups in terms of Schubert classes.
关键词	Flag manifolds Schubert varieties Cohomology
DOI	10.1007/s10208-010-9058-0
语种	英语
资助项目	NSFC[10631060] ; NSFC[10931005] ; RFDP
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied ; Mathematics
WOS记录号	WOS:000276511000001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10347
专题	数学所
通讯作者	Duan, Haibao
作者单位	1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China 3.Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Duan, Haibao,Zhao, Xuezhi. The Chow Rings of Generalized Grassmannians[J]. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS,2010,10(3):245-274.
APA	Duan, Haibao,&Zhao, Xuezhi.(2010).The Chow Rings of Generalized Grassmannians.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS,10(3),245-274.
MLA	Duan, Haibao,et al."The Chow Rings of Generalized Grassmannians".FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 10.3(2010):245-274.