论文标题
半程产品的泊松莱组结构
Poisson-Lie Group structures on semidirect products
论文作者
论文摘要
我们查看双束的总空间到由匹配的谎言组产生的谎言代数的总空间。正如Stachura最近的一项作品所暗示的那样，具有自然半领产品组结构的双捆绑包成为了泊松群体。此外，当我们从简单谎言组的伊瓦沙（Iwasawa）分解给出的匹配对开始时，相关的lie bialgebra就是串联。
We look at the Poisson structure on the total space of the dual bundle to the Lie algebroid arising from a matched pair of Lie groups. This dual bundle, with the natural semidirect product group structure, becomes a Poisson-Lie group as suggested by a recent work of Stachura. Moreover, when we start from matched pairs given by the Iwasawa decomposition of simple Lie groups, the associated Lie bialgebra is coboundary.
