標題: | Geometric quantization and Zuckerman models of semisimple Lie groups |
作者: | Chuah, Meng-Kiat 應用數學系 Department of Applied Mathematics |
公開日期: | 2007 |
摘要: | Let G be a real semisimple Lie group. We equip invariant presymplectic forms omega to some fibration X over the flag domain of G. By applying geometric quantization to (X, omega), we obtain a unitary G-representation H whose subrepresentations are infinitesimally equivalent to the Zuckerman modules. The occurence of the Zuckerman modules H are controlled by the image of the moment map of omega. This leads to our notion of Zuckerman model. |
URI: | http://hdl.handle.net/11536/11314 http://dx.doi.org/10.1515/FORUM.2007.033 |
ISSN: | 0933-7741 |
DOI: | 10.1515/FORUM.2007.033 |
期刊: | FORUM MATHEMATICUM |
Volume: | 19 |
Issue: | 5 |
起始頁: | 823 |
結束頁: | 850 |
Appears in Collections: | Articles |