Local rigidity of complex hyperbolic lattices in semisimple Lie groups

Abstract

We show the local rigidity of complex hyperbolic lattices in classical Hermitian semisimple Lie groups, SU(np,p), Sp(2n+2, R), SO*(2n+2), SO(2n,2). This reproves or generalizes some results in GM, KKP, Klingler-inv, Pozzetti.

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