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

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

2007-12-13

arxiv.org/abs/0712.2080v1

Mathematics

Algebraic Topology

To appear in J. Math. Soc. Japan, Vol.60. No.3

Scientific paper

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.

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