Theta-lifting and geometric quantization for GL（n, C）  

作　　者：Mingjing ZHANG 

机构地区：[1]School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,China

出　　处：《Frontiers of Mathematics in China》2012年第4期785-793,共9页中国高等学校学术文摘·数学（英文）

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）.

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 representationsIn 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

关 键 词：Vogan＇s conjecture on quantization induced orbits unitary representations theta-lifting 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论] TN919.81[自动化与计算机技术—计算机科学与技术]