标题: | Holomorphic discrete models of semisimple Lie groups and their symplectic constructions |
作者: | Chuah, MK 应用数学系 Department of Applied Mathematics |
关键字: | holomorphic discrete model;pseudo-Kahler |
公开日期: | 1-八月-2000 |
摘要: | 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. |
URI: | http://dx.doi.org/10.1006/jfan.2000.3586 http://hdl.handle.net/11536/30357 |
ISSN: | 0022-1236 |
DOI: | 10.1006/jfan.2000.3586 |
期刊: | JOURNAL OF FUNCTIONAL ANALYSIS |
Volume: | 175 |
Issue: | 1 |
起始页: | 17 |
结束页: | 51 |
显示于类别: | Articles |
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