Holomorphic discrete models of semisimple Lie groups and their symplectic constructions
| dc.citation.epage | 51 | en_US |
| dc.citation.issue | 1 | en_US |
| dc.citation.spage | 17 | en_US |
| dc.citation.volume | 175 | en_US |
| dc.citation.woscount | 4 | |
| dc.contributor.author | Chuah, MK | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:44:58Z | |
| dc.date.available | 2014-12-08T15:44:58Z | |
| dc.date.issued | 2000-08-01 | en_US |
| dc.description.abstract | Let G be a connected real semisimple Lie group which contains a compact Cartan subgroup such that it has non-empty discrete series. A holomorphic discrete model of G is a unitary G-representation consisting of all its holomorphic discrete series with multiplicity one. We perform geometric quantization to a class of G-invariant pseudo-Kahler manifolds and construct a holomorphic discrete model. The construction of discrete series which are not holomorphic is also discussed. (C) 2000 Academic Press. | en_US |
| dc.identifier.doi | 10.1006/jfan.2000.3586 | en_US |
| dc.identifier.issn | 0022-1236 | en_US |
| dc.identifier.journal | JOURNAL OF FUNCTIONAL ANALYSIS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1006/jfan.2000.3586 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/30357 | |
| dc.identifier.wosnumber | WOS:000088687700002 | |
| dc.language.iso | en_US | en_US |
| dc.subject | holomorphic discrete model | en_US |
| dc.subject | pseudo-Kahler | en_US |
| dc.title | Holomorphic discrete models of semisimple Lie groups and their symplectic constructions | en_US |
| dc.type | Article | en_US |