Suspension splittings and self-maps of flag manifolds

Shizuo Kaji; Stephen Theriault

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arXiv · 1802.01809

Suspension splittings and self-maps of flag manifolds

Shizuo Kaji·Stephen Theriault

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Abstract

If $G$ is a compact connected Lie group and $T$ is a maximal torus, we give a wedge decomposition of $\Sigma G/T$ by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of $G/T$.

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Shizuo Kaji, Stephen Theriault. 2018-02-06. Suspension splittings and self-maps of flag manifolds. https://arxiv.org/abs/1802.01809

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