Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group
Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group
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刚性、半单群的酉表示以及具有一级变换群的流形基本群
DOI：
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发表时间：
2000
期刊：
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通讯作者：
Y. Shalom
中科院分区：
文献类型：
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作者：
Y. Shalom
本文建立了G = SO（n,1）中n>=3和G = SU（n,1）中n>=2格的一长串类似于高秩李群格的超刚性的刚性性质。这些参数是在G的强L^p酉表示的上下文中设置的。
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.