Segal-Bargmann-Hall Transform and Geometric Quantization  

作　　者：刘卫平 王正栋 胡大鹏 

机构地区：[1]School of Mathematical Science,Peking Univ.,Beijing,100871,P.R.China

出　　处：《数学进展》2003年第4期509-511,共3页Advances in Mathematics（China）

基　　金：Supported by the 973 Project Foundation of China(Grant No.TG1999075102)and NSFC

摘　　要：Using geometric methods, Hall has proved that the Segal-Bargmann transform for a con-nected Lie group K of compact type is an isometric isomorphism [H1] and is unique when Kis simply connected [H7].

关 键 词：Segal-Bargmann-Hall变换 几何量子化 LIE群 等距同构 群表示论 唯一性 连通群 线性映射 

分 类 号：O152.6[理学—数学] O152.5[理学—基础数学]