Generalized Hopf-Ore extensions

JOURNAL OF ALGEBRA

卷:508

Article

You, Lan^1,2  Wang, Zhen²  Chen, Hui-Xiang¹ 

[1] Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Yancheng Inst Technol, Coll Math & Phys, Yancheng 224051, Peoples R China

关键词: Hopf algebra;    Ore extension;    Enveloping algebra;   

DOI  :  10.1016/j.jalgebra.2018.04.032

来源: Elsevier

【 摘 要 】

We investigate some Hopf algebra structures over an Ore extension of a Hopf algebra. Necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type are given. This construction, called a generalized Hopf-Ore extension, generalizes Hopf-Ore extensions. We describe the generalized Hopf Ore extensions of the enveloping algebras of Lie algebras. For some Lie algebras g, the generalized Hopf-Ore extensions of U(g) are classified. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free