Self-maps of classifying spaces

Self-maps of classifying spaces
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分类空间的自映射

DOI:
10.1007/bfb0070651
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发表时间:
1974
期刊:
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影响因子:
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通讯作者:
C. Wilkerson
C. Wilkerson
中科院分区:
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文献类型:
--
作者:
C. Wilkerson

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本文的目的是将BU(n)上的”不稳定”亚当斯运算的Sullivan构造[19]推广到所有的coiTIDact连通半单李群,包括例外李群。本文的应用是得到单李群的模P分裂,但所得结果也是对Hubbuck [8]研究某些分类空间不存在性的工作的补充.
The purpose of this note is to extend the Sullivan construction [19] of" unstable" Adams operations on BU (n) to cover all coiTIDact connected semi-simple Lie groups, including the exceptional lie groups. The application in this paper is to obtain mod P splittinr; s of the simple Lie groups, but the result also provides a complement to the work of Hubbuck [8] studying the nonexistence of certain of classifying spaces.