The Representations of Lie Groups and¶Geometric Quantizations

被引：0
|
作者：
Qiang Zhao
机构：
[1] School of Mathematics,
[2] Peking University,undefined
[3] Beijing,undefined
[4] China,undefined
[5] and Department of Mathematics,undefined
[6] Northwest Normal University,undefined
[7] Lanzhou,undefined
[8] China,undefined
来源：
Communications in Mathematical Physics | 1998年 / 194卷
关键词：
Discrete Series; Geometric Quantization; Coadjoint Orbit; Spherical Representation; Holomorphic Discrete Series;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we discuss the relation between representations of Lie groups and geometric quantizations. A series of representations of Lie groups are constructed by geometric quantization of coadjoint orbits. Particularly, all representations of compact Lie groups, holomorphic discrete series of representations and spherical representations of reductive Lie groups are constructed by geometric quantizations of elliptic and hyperbolic coadjoint orbits.
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页码：135 / 148
页数：13
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