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

MARUYAMA, Ken-ichi; ŌSHIMA, Hideaki

J. Math. Soc. Japan, Tome 60 (2008) no. 1, p. 767-792 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-07-15
Classification: function spaces, homotopy groups, Lie groups, 55Q05, 55P10

@article{1217884492,
     author = {MARUYAMA, Ken-ichi and \=OSHIMA, Hideaki},
     title = {Homotopy groups of the spaces of self-maps of Lie groups},
     journal = {J. Math. Soc. Japan},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 767-792},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1217884492}
}

MARUYAMA, Ken-ichi; ŌSHIMA, Hideaki. Homotopy groups of the spaces of self-maps of Lie groups. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp.  767-792. http://gdmltest.u-ga.fr/item/1217884492/