KO-theory of exceptional flag manifolds

Daisuke Kishimoto; Akihiro Ohsita

doi:10.1215/21562261-2265923

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Home > Journals > Kyoto J. Math. > Volume 53 > Issue 3 > Article

Fall 2013

K O

-theory of exceptional flag manifolds

Daisuke Kishimoto, Akihiro Ohsita

Kyoto J. Math. 53(3): 673-692 (Fall 2013). DOI: 10.1215/21562261-2265923

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Abstract

The $K O$ -theory of the flag manifold $G/T$ is determined by calculating the Atiyah–Hirzebruch spectral sequence when $G$ is one of the exceptional Lie groups $G_{2}$ , $F_{4}$ , $E_{6}$ , where $T$ is a maximal torus of $G$ .

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Daisuke Kishimoto. Akihiro Ohsita. " $K O$ -theory of exceptional flag manifolds." Kyoto J. Math. 53 (3) 673 - 692, Fall 2013. https://doi.org/10.1215/21562261-2265923