On the geometric quantization of R-matrix-type Poisson brackets

被引：1
|
作者：
Kotov, AY
机构：
[1] Department for Cybernetics, Moscow State University
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1997年 / 112卷 / 02期
关键词：
D O I：
10.1007/BF02634157
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We check the Vaisman condition of geometric quantization for the R-matrix-type Poisson pencil on a coadjoint orbit of a compact semisimple Lie group. It is shown that this condition is not satisfied for Hermitian symmetric spaces. We also construct some examples where the Vaisman condition is satisfied.
引用
收藏
页码：988 / 994
页数：7
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