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arXiv · 1405.2655

Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms

Oliver Goertsches·Sam H. Noshari
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Abstract

We show that the isotropy action of a homogeneous space $G/K$, where $G$ and $K$ are compact, connected Lie groups and $K$ is defined by an automorphism on $G$, is equivariantly formal and that $(G, K)$ is a Cartan pair.

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BibTeXRIS

Oliver Goertsches, Sam H. Noshari. 2014-05-12. Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms. https://arxiv.org/abs/1405.2655

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