Self Homotopy Equivalences of Classifying Spaces of Compact Connected Lie Groups
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چکیده
In an earlier paper [JMO], we gave a complete description of all homotopy classes of self maps of the classifying space BG, when G is any compact connected simple Lie group. In this paper, we extend those results to the case where G is any compact connected Lie group, but only considering self maps of BG which are rational equivalences. Most of the paper deals with self maps of the p-adic completions BGp̂; and the results are extended to global maps only at the end.
منابع مشابه
Rational equivalences between classifying spaces
The paper contains a homotopy classification of rational equivalences between classifying spaces of compact connected Lie groups with an application to genus sets of such spaces. Mathematics Subject Classification (1991): 55R35, 55P10, 55P60, 55S37
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تاریخ انتشار 1997