Symplectic Embeddings, the Prepotentials and Automorphic Functions of   $SU(1, n)\over U(1)\otimes SU(n)$
  The holomorphic homogeneous prepotential encoding the special geometry of the special K\"ahler manifolds ${\textstyle SU(1,n)\over \textstyle U(1)\otimes SU(n)}$ is constructed using the symplectic embedding of the isometry group $SU(1,n)$ into $Sp(2n+2,{\hbox{\bf R}})$. Also the automorphic functions of these manifolds are discussed. 
W. A. Sabra, S. Thomas and N. Vanegas