Quadratic deformations of Lie-Poisson structures

被引：6

作者：

Lin, Qian ^{[1
]}

Liu, Zhangju

Sheng, Yunhe

机构：

[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 83卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Lie-Poisson structure; quadratic deformation;

D O I：

10.1007/s11005-008-0221-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this letter, first we give a decomposition for any Lie-Poisson structure pi(g) associated to the modular vector. In particular, pi(g) splits into two compatible Lie-Poisson structures if dimg <= 3. As an application, we classified quadratic deformations of Lie-Poisson structures on R-3 up to linear diffeomorphisms.

引用

页码：217 / 229

页数：13

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