[For the entire collection see Zbl 0742.00067.]Let be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of on Dolbeault cohomology spaces and the tempered series of representations of on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric quantization.
@article{701477,
title = {Geometric constructions and representations},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1991},
pages = {[15]-40},
mrnumber = {MR1151889},
zbl = {0761.22018},
url = {http://dml.mathdoc.fr/item/701477}
}
Wolf, Joseph A. Geometric constructions and representations, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1991), pp. [15]-40. http://gdmltest.u-ga.fr/item/701477/