Classification of connected commutative locally Nash groups

Yixin Bao; Yangyang Chen; Weikai Hu

doi:10.1016/j.jpaa.2021.106942

Classification of connected commutative locally Nash groups

Yixin Bao
, Yangyang Chen^*
, Weikai Hu

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
Jiangnan University
Université Grenoble Alpes

Research output: Contribution to journal › Article › peer-review

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 affineness of a connected commutative Nash group.

Original language	English
Article number	106942
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	5
DOIs	https://doi.org/10.1016/j.jpaa.2021.106942
State	Published - May 2022
Externally published	Yes

Keywords

Classification
Locally Nash groups

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10.1016/j.jpaa.2021.106942

Cite this

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title = "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 affineness of a connected commutative Nash group.",

keywords = "Classification, Locally Nash groups",

author = "Yixin Bao and Yangyang Chen and Weikai Hu",

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year = "2022",

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doi = "10.1016/j.jpaa.2021.106942",

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AU - Bao, Yixin

AU - Chen, Yangyang

AU - Hu, Weikai

PY - 2022/5

Y1 - 2022/5

N2 - 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 affineness of a connected commutative Nash group.

AB - 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 affineness of a connected commutative Nash group.

KW - Classification

KW - Locally Nash groups

UR - https://www.scopus.com/pages/publications/85117966432

U2 - 10.1016/j.jpaa.2021.106942

DO - 10.1016/j.jpaa.2021.106942

M3 - 文章

AN - SCOPUS:85117966432

SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 5

M1 - 106942

ER -

Classification of connected commutative locally Nash groups

Abstract

Keywords

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