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On representations of complex hyperbolic lattices

On representations of complex hyperbolic lattices

The following superrigidity type theorem for complex hyperbolic lattices is proved in this paper.Let X = Γ\B n be a compact complex ball quotient, n = 2 or 3. Suppose H 1,1 (X, C) ∩ H 2 (X, Z) is generated by the Kähler class of X.Then any representation of …