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math.DG2018
On homogeneous manifolds whose isotropy actions are polar
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Andreas Kollross
We show that simply connected Riemannian homogeneous spaces of compact semisimple Lie groups with polar isotropy actions are symmetric, generalizing results of Fabio Podesta and th…
math.DG2018
Octonions, triality, the exceptional Lie algebra F4, and polar actions on the Cayley hyperbolic plane
Andreas Kollross
Using octonions and the triality property of Spin(8), we find explicit formulae for the Lie brackets of the exceptional simple real Lie algebras and $\mathfrak{f}^…