Maximal representations of complex hyperbolic lattices in SU(m,n)

Maria Beatrice Pozzetti

Let $\Gamma$ denote a lattice in $SU(1,p)$, with $p$ greater than 1. We show that there exists no Zariski dense maximal representation with target $SU(m,n)$ if $n>m>1$. The proof is geo…