Abstract
Let G be a real semisimple Lie group. We equip invariant presymplectic forms ω to some fibration X over the flag domain of G. By applying geometric quantization to (X, ω), we obtain a unitary G-representation ℋ whose subrepresentations are infinitesimally equivalent to the Zuckerman modules. The occurence of the Zuckerman modules in ℋ are controlled by the image of the moment map of ω. This leads to our notion of Zuckerman model. © © Walter de Gruyter 2007.