论文标题
连接的交换本地NASH组的分类
Classification of Connected Commutative Locally Nash Groups
论文作者
论文摘要
在本文中,我们对连接的交换性(本地)纳什组进行了分类,这是我们以前关于阿贝利亚纳什歧管分类的工作的延续。我们的结果概括了Madden-Stanton对一维情况的分类以及Baro-Vicente-otero的二维情况。此外,我们确定了连接的交换纳什组的亲密和环形词汇。
In this article, we classify connected commutative (locally) Nash groups, which is a continuation of our previous work on the classification of abelian Nash manifolds. Our results generalize the classification of the one-dimensional case by Madden-Stanton and the two-dimensional case by Baro-Vicente-Otero. Moreover, we determine the affineness and toroidal affinenese of a connected commutative Nash group.