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The Cartan matrix and enumerative calculus
Duan, HB; Zhao, XA; Zhao, XZ
2004-09-01
Source PublicationJOURNAL OF SYMBOLIC COMPUTATION
ISSN0747-7171
Volume38Issue:3Pages:1119-1144
AbstractLet 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.
KeywordCartan matrix flag manifolds Schubert calculus
DOI10.1016/j.jsc.2004.03.005
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied
WOS IDWOS:000224866700003
PublisherACADEMIC PRESS LTD ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19745
Collection数学所
Affiliation1.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
Recommended Citation
GB/T 7714
Duan, HB,Zhao, XA,Zhao, XZ. The Cartan matrix and enumerative calculus[J]. JOURNAL OF SYMBOLIC COMPUTATION,2004,38(3):1119-1144.
APA Duan, HB,Zhao, XA,&Zhao, XZ.(2004).The Cartan matrix and enumerative calculus.JOURNAL OF SYMBOLIC COMPUTATION,38(3),1119-1144.
MLA Duan, HB,et al."The Cartan matrix and enumerative calculus".JOURNAL OF SYMBOLIC COMPUTATION 38.3(2004):1119-1144.
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