The KO-cohomology ring of SU (2n)/SO (2 n)
Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 91-97

Voir la notice de l'article provenant de la source Cambridge University Press

The KO-cohomology ring of the symmetric space SU(2n)/SO(2n) is computed by using the Bott exact sequence and some facts on the real and quaternionic representation rings of SU(2n) and SO(2n).
Watanabe, Takashi. The KO-cohomology ring of SU (2n)/SO (2 n). Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 91-97. doi: 10.1017/S0017089500031955
@article{10_1017_S0017089500031955,
     author = {Watanabe, Takashi},
     title = {The {KO-cohomology} ring of {SU} {(2n)/SO} (2 n)},
     journal = {Glasgow mathematical journal},
     pages = {91--97},
     year = {1997},
     volume = {39},
     number = {1},
     doi = {10.1017/S0017089500031955},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031955/}
}
TY  - JOUR
AU  - Watanabe, Takashi
TI  - The KO-cohomology ring of SU (2n)/SO (2 n)
JO  - Glasgow mathematical journal
PY  - 1997
SP  - 91
EP  - 97
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031955/
DO  - 10.1017/S0017089500031955
ID  - 10_1017_S0017089500031955
ER  - 
%0 Journal Article
%A Watanabe, Takashi
%T The KO-cohomology ring of SU (2n)/SO (2 n)
%J Glasgow mathematical journal
%D 1997
%P 91-97
%V 39
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031955/
%R 10.1017/S0017089500031955
%F 10_1017_S0017089500031955

[1] 1.Adams, J. F., Lectures on Lie groups (W. A. Benjamin, 1969). Google Scholar

[2] 2.Atiyah, M. F. and Hirzebruch, F., Vector bundles and homogeneous spaces, in Differential Geometry, Proc. Symp. Pure Math. Amer. Math. Soc. 3 (1961), 7–38. Google Scholar | DOI

[3] 3.Husemoller, D., Fibre bundles, second edition, Graduate Texts in Mathematics (Springer-Verlag 1974). Google Scholar

[4] 4.Mimura, M. and Toda, H., Topology of Lie groups, I and II, Transl. Math. Monograph 91 (Amer. Math. Soc, 1991). Google Scholar

[5] 5.Minami, H., K-groups of symmetric spaces II, Osaka J. Math. 13 (1976), 271–287. Google Scholar

[6] 6.Seymour, R. M., The real K-theory of Lie groups and homogeneous spaces, Quart. J. Math. Oxford (Ser. 2) 24 (1973), 7–30. Google Scholar | DOI

[7] 7.Watanabe, T., The KO-theory of Lie groups and symmetric spaces, Math. J. Okayama Univ., to appear. Google Scholar

[8] 8.Yokota, I., Groups and representations (Shōkabō, 1973). (in Japanese) Google Scholar

Cité par Sources :