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Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group

Yehuda Shalom
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Abstract

The article establishes a long list of rigidity properties of lattices in G = SO(n,1) with n>=3 and G = SU(n,1) with n>=2 that are analogous to superrigidity of lattices in higher-rank Lie groups. The arguments are set in the context of strongly L^p unitary representations of G.

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BibTeXRIS

Yehuda Shalom. 2000-07-01. Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group. https://arxiv.org/abs/math/0007204

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