| Title:
|
Geometric constructions and representations (English) |
| Author:
|
Wolf, Joseph A. |
| Language:
|
English |
| Journal:
|
Proceedings of the Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
1990 |
| Year:
|
|
| Pages:
|
[15]-40 |
| . |
| Category:
|
math |
| . |
| Summary:
|
[For the entire collection see Zbl 0742.00067.]\par Let $G$ 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 $G$ on Dolbeault cohomology spaces and the tempered series of representations of $G$ 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. (English) |
| MSC:
|
22E45 |
| MSC:
|
22E46 |
| MSC:
|
53D50 |
| MSC:
|
57T10 |
| idZBL:
|
Zbl 0761.22018 |
| idMR:
|
MR1151889 |
| . |
| Date available:
|
2009-07-13T21:25:58Z |
| Last updated:
|
2025-06-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701477 |
| . |
