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ON THE BOREL TRANSGRESSION IN THE FIBRATION G -> G/T
Duan, Haibao1,2
2018
Source PublicationHOMOLOGY HOMOTOPY AND APPLICATIONS
ISSN1532-0073
Volume20Issue:1Pages:79-86
AbstractLet G be a semisimple Lie group with a maximal torus T. We present an explicit formula for the Borel transgression tau : H-l(T) ->center dot H-2(G/T) of the fibration G ->center dot G/T. This formula corrects an error in the paper [9], and has been applied to construct the integral cohomology rings of compact Lie groups in the sequel works [4, 6].
KeywordLie group cohomology Leray-Serre spectral sequence
DOI10.4310/HHA.2018.v20.n1.a6
Language英语
Funding ProjectNSFC[11771427] ; NSFC[11661131004]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000440782700006
PublisherINT PRESS BOSTON, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30834
Collection数学所
Corresponding AuthorDuan, Haibao
Affiliation1.Chinese Acad Sci, Inst Math, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Duan, Haibao. ON THE BOREL TRANSGRESSION IN THE FIBRATION G -> G/T[J]. HOMOLOGY HOMOTOPY AND APPLICATIONS,2018,20(1):79-86.
APA Duan, Haibao.(2018).ON THE BOREL TRANSGRESSION IN THE FIBRATION G -> G/T.HOMOLOGY HOMOTOPY AND APPLICATIONS,20(1),79-86.
MLA Duan, Haibao."ON THE BOREL TRANSGRESSION IN THE FIBRATION G -> G/T".HOMOLOGY HOMOTOPY AND APPLICATIONS 20.1(2018):79-86.
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