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.
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页码：988 / 994
页数：7
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