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

页码：988 / 994

页数：7

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