Classification of Connected Commutative Locally Nash Groups

Abstract

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.

23 pages

References in corpus (2)

• Two-dimensional locally $\mathbb{K}$-Nash groups
• Classification of abelian Nash manifolds