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The moduli space of the Calabi-Yau three-folds, which play a role assuperstring ground states, exhibits the same {\em special geometry} that isknown from nonlinear sigma models in $N=2$ supergravity theories. We discussthe symmetry structure of special real, complex and quaternionic spaces. Mapsbetween these spaces are implemented via dimensional reduction. We analyze theemergence of {\em extra} and {\em hidden} symmetries. This analysis is thenapplied to homogeneous special spaces and the implications for theclassification of homogeneous quaternionic spaces are discussed.Comment: 18 page

HIDDEN SYMMETRIES, SPECIAL GEOMETRY AND QUATERNIONIC MANIFOLDS