Classification of real three-dimensional Lie bialgebras and their Poisson-Lie groups

被引：21

作者：

Rezaei-Aghdam, A ^{[1
]}

Hemmati, M ^{[1
]}

Rastkar, AR ^{[1
]}

机构：

[1] Azarbaijan Univ Tarbiat Moallem, Dept Phys, Tabriz 53714161, Iran

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 18期

关键词：

D O I：

10.1088/0305-4470/38/18/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Classical r-matrices of the three-dimensional real Lie bialgebras are obtained. In this way, all three-dimensional real coboundary Lie bialgebras and their types (triangular, quasitriangular or factorizable) are classified. Then, by using the Sklyanin bracket, the Poisson structures on the related Poisson-Lie groups are obtained.

引用

页码：3981 / 3994

页数：14

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