On representations of complex hyperbolic lattices

被引：0
|
作者：
Wang, M [1 ]
机构：
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 1999年 / 6卷 / 01期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The following superrigidity type theorem for complex hyperbolic lattices is proved in this paper. Let X = Gamma\B-n be a compact complex ball quotient, n = 2 or 3. Suppose H-1,H-1(X, C) boolean AND H-2(X, Z) is generated by the Kahler class of X. Then any representation of Gamma in GL(n + 1, C) can either be deformed to a unitary representation or be extended to a homomorphism from SU(n, 1) into GL(n + 1, C).
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页码：99 / 105
页数：7
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