Local rigidity of complex hyperbolic lattices in semisimple Lie groups

Inkang Kim, Genkai Zhang

We show the local rigidity of complex hyperbolic lattices in classical Hermitian semisimple Lie groups, $SU(np,p),Sp(2n+2,\mathbb{R}),S{O}^{\ast }(2n+2),SO(2n,2)$. This reproves or gener…