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Local rigidity of complex hyperbolic lattices in semisimple Lie groups

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 ( p , q ), Sp (2 n + 2, $\mathbb{R}$ ), SO *(2 n + 2), SO (2 n , 2). This reproves or generalises some results in [ 2 , 9 …