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, $SU(np,p),Sp(2n+2,\mathbb{R}),S{O}^{\ast }(2n+2),SO(2n,2)$. This reproves or generalizes some results in \cite{GM, KKP, Klingler-inv, Pozzetti}.

14 pages, updated to give more explanations

References in corpus (3)

• Maximal representations of complex hyperbolic lattices in SU(m,n)
• Eichler-Shimura isomorphism for complex hyperbolic lattices
• Branching of Representations to Symmetric Subgroups