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The tempered representations of a real reductive Lie group $G$ are naturallypartitioned into series associated with conjugacy classes of Cartan subgroups$H$ of $G$. We define partial Dirac cohomology, apply it for geometricconstruction of various models of these $H$--series representations, and showhow this construction fits into the framework of geometric quantization andsymplectic reduction.

Partial Dirac Cohomology and Tempered Representations