Journal of the Mathematical Society of Japan

Homotopy groups of the spaces of self-maps of Lie groups

Ken-ichi MARUYAMA and Hideaki ŌSHIMA

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Abstract

We compute the homotopy groups of the spaces of self maps of Lie groups of rank 2, SU(3) , Sp(2) , and G 2 . We use the cell structures of these Lie groups and the standard methods of homotopy theory.

Article information

Source
J. Math. Soc. Japan, Volume 60, Number 3 (2008), 767-792.

Dates
First available in Project Euclid: 4 August 2008

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1217884492

Digital Object Identifier
doi:10.2969/jmsj/06030767

Mathematical Reviews number (MathSciNet)
MR2440413

Zentralblatt MATH identifier
1148.55002

Subjects
Primary: 55Q05: Homotopy groups, general; sets of homotopy classes
Secondary: 55P10: Homotopy equivalences

Keywords
function spaces homotopy groups Lie groups

Citation

MARUYAMA, Ken-ichi; ŌSHIMA, Hideaki. Homotopy groups of the spaces of self-maps of Lie groups. J. Math. Soc. Japan 60 (2008), no. 3, 767--792. doi:10.2969/jmsj/06030767. https://projecteuclid.org/euclid.jmsj/1217884492


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