On Hopf algebras of dimension 4p

JOURNAL OF ALGEBRA

卷:328

Article

Cheng, Yi-Lin¹  Ng, Siu-Hung¹ 

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

关键词: Frobenius algebra;    Hopf algebras;    Braided Hopf algebras;    Yetter-Drinfeld modules;   

DOI  :  10.1016/j.jalgebra.2010.08.029

来源: Elsevier

【 摘 要 】

In this paper, we prove that a non-semisimple Hopf algebra H of dimension 4p with p an odd prime over an algebraically closed field of characteristic zero is pointed provided H contains more than two group-like elements. In particular, we prove that non-semisimple Hopf algebras of dimensions 20, 28 and 44 are pointed or their duals are pointed, and this completes the classification of Hopf algebras in these dimensions. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free