Self homotopy equivalences of classifying spaces of compact connected Lie groups

• Autorzy: Stefan Jackowski , James P. McClure , Bob Oliver
• Języki publikacji: EN

Abstrakty

EN

We describe, for any compact connected Lie group G and any prime p, the monoid of self maps $BG_{^p}$ → $BG_{^p}$ which are rational equivalences. Here, $BG_{^p}$ denotes the p-adic completion of the classifying space of G. Among other things, we show that two such maps are homotopic if and only if they induce the same homomorphism in rational cohomology, if and only if their restrictions to the classifying space of the maximal torus of G are homotopic.

Kategorie tematyczne

• 55S37: Classification of mappings
• 55R35: Classifying spaces of groups and H -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1995
• Tom: 147
• Numer: 2
• Strony: 99-126

Daty

wydano

1995

otrzymano

1994-03-15

poprawiono

1994-10-05

Twórcy

autor

Stefan Jackowski

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

autor

James P. McClure

• Department of Mathematics, Purdue University, West Lafayette, Indiana 47909-1395, U.S.A.

autor

Bob Oliver

• Département de Mathématiques URA 742, Université Paris Nord 93430 Villetaneuse, France

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