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arxiv: 1708.08981 · v1 · pith:GLJCIAVUnew · submitted 2017-08-29 · 🧮 math.DG

Parabolic nilradicals of Heisenberg type, II

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keywords parabolicalgebraheisenbergassociatedconformalcontainsdiscussevery
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Every real simple non-compact Lie algebra not isomorphic to $\mathfrak{so}(1,n)$ contains a unique standard parabolic subalgebra whose nilradical is a generalized Heisenberg algebra. Here we discuss the associated parabolic geometries and the riemannian geometry of the harmonic spaces having the former as conformal infinities.

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