Geometric realization of Adams maps

doi:10.1007/s10114-011-0164-y

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	Geometric realization of Adams maps
	Lin, Xian Zu
	2011-05-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	27 期号:5 页码:863-870
摘要	Let G/P be a homogenous space with G a compact connected Lie group and P a connected subgroup of G of equal rank. As the rational cohomology ring of G/P is concentrated in even dimensions, for an integer k we can define the Adams map of type k to be l (k) : H(G/P, a"e) -> H(G/P, a"e), l (k) (u) = k (i) u, u a H (2i) (G/P, a"e). We show that if k is prime to the order of the Weyl group of G, then l (k) can be induced by a self map of G/P. We also obtain results which imply the condition that k is prime to the order of the Weyl group of G is necessary.
关键词	Homogenous space self map Adams map
DOI	10.1007/s10114-011-0164-y
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000289364500005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12041
专题	中国科学院数学与系统科学研究院
通讯作者	Lin, Xian Zu
作者单位	Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin, Xian Zu. Geometric realization of Adams maps[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2011,27(5):863-870.
APA	Lin, Xian Zu.(2011).Geometric realization of Adams maps.ACTA MATHEMATICA SINICA-ENGLISH SERIES,27(5),863-870.
MLA	Lin, Xian Zu."Geometric realization of Adams maps".ACTA MATHEMATICA SINICA-ENGLISH SERIES 27.5(2011):863-870.