Abstract
Let X be a rank one Riemannian symmetric space of the noncompact type, and G be the group of isometries of X. There are four cases:
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(1)
X is real n-hyperbolic space (n ≥ 2) and G = SO0 (n, 1);
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(2)
X is complex n-hyperbolic space (n ≥ 2) and G = SU(n, 1);
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(3)
Xis quaternionic n-hyperbolic space (n ≥ 2) and G = Sp(n, 1);
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(4)
X is the hyperbolic plane over the Cayley numbers, and G = F4 (-20).
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© 2001 Springer Basel AG
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Julg, P. (2001). Simple Lie Groups of Rank One. In: Groups with the Haagerup Property. Progress in Mathematics, vol 197. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8237-8_3
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DOI: https://doi.org/10.1007/978-3-0348-8237-8_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9486-9
Online ISBN: 978-3-0348-8237-8
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