Representations of solvable Lie groups and geometric quantization

被引:0
作者
Zhao, Q
Xiao, L
机构
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
关键词
Li group; quantization; polarization; coadjoint orbit;
D O I
10.1142/S0252959999000400
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Representations of solvable Lie groups are realized and classified by geometric quantization of coadjoint orbits through positive polarizations.
引用
收藏
页码:351 / 362
页数:12
相关论文
共 6 条
[1]   POLARIZATION AND UNITARY REPRESENTATIONS OF SOLVABLE LIE CROUPS [J].
AUSLANDER, L ;
KOSTANT, B .
INVENTIONES MATHEMATICAE, 1971, 14 (04) :255-+
[2]  
Folland G. B., 1995, COURSE ABSTRACT HARM
[3]  
KOSTANT B, 1970, LECT NOTES MATH, V170
[4]  
Vogan DA., 1981, Representations of real reductive Lie groups
[5]  
Woodhouse N., 1992, GEOMETRIC QUANTIZATI
[6]  
Zhao Q, 1997, J ALGEBRA, V192, P14