Cartan Involutions and Normalizers of Maximal Tori


One consequence of Tits’ well known work [11] on the structure of the normalizer of the maximal torus in a connected compact Lie group is that twice the k-invariant classifying the extension {e} → TG → NG(TG) →W (G) → {e} is zero. In this note we observe that this conclusion follows directly from the existence of an unstable Adams map of type Ψ on the… (More)


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