Triangular Poisson structures on Lie groups and symplectic reduction

被引：0

作者：

Hodges, TJ ^{[1
]}

Yakimov, M

机构：

[1] Univ Cincinnati, Dept Math, Cincinnati, OH 45221 USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

Noncommutative Geometry and Representation Theory in Mathematical Physics | 2005年 / 391卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that each triangular Poisson Lie group can be decomposed into Poisson submanifolds each of which is a quotient of a symplectic manifold. The Marsden-Weinstein-Meyer symplectic reduction technique is then used to give a complete description of the symplectic foliation of all triangular Poisson structures on Lie groups. The results are illustrated in detail for the generalized Jordanian Poisson structures on SL(n).

引用

页码：123 / 134

页数：12

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