Theta-lifting and geometric quantization for GL(n, C)
- ISSN号:1673-3452
- 期刊名称:Frontiers of Mathematics in China
- 时间:0
- 页码:785-793
- 分类:TP311[自动化与计算机技术—计算机软件与理论;自动化与计算机技术—计算机科学与技术] TN919.81[电子电信—通信与信息系统;电子电信—信息与通信工程]
- 作者机构:[1]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
- 相关基金:The author would like to thank Professor Jing-Song Huang and Professor Fu-Hai Zhu for very helpful suggestion. This work was supported in part by the National Natural Science Foundation of China (Grant No. 10971103).
- 相关项目:约化群酉表示的branching law及其应用
中文摘要:
在这份报纸,我们验证 Vogans 为 G = GL 在表示理论在量子化上推测(n,) 。另外,我们得到在单一的代表上升的轨道和洞的正式就职之间的某关系。
英文摘要:
In this paper, we verify Vogan's conjecture on quantization in the representation theory for G = GL(n, C). Also we get some relationship between the induction of orbits and Howe's θ-lifting of unitary representations