\(KO\)-theory of exceptional flag manifolds
Let \(G\) be a compact connected Lie group and let \(T\) be a maximal torus of \(G\). In this paper the authors calculate the real \(KO\)-theory of a flag manifold \(G/T\) for the exceptional Lie groups \(G=G_2, F_4, E_6\) using the Atiyah-Hirzebruch spectral sequence and Steenrod squaring cohomology operations. Also they point out the connection between Witt groups and the real \(KO\)-theory of homogeneous spaces such as Grassmannians and flag manifolds. All calculations are done explicitly.
scientific article; zbMATH DE number 6212905
scientific article