The Calabi-Yau property of smash products

JOURNAL OF ALGEBRA

卷:358

Article

Yu, Xiaolan²  Zhang, Yinhuo¹ 

[1] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium

[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

关键词: Calabi-Yau algebra;    Braided Hopf algebra;    Smash product;   

DOI  :  10.1016/j.jalgebra.2012.03.002

来源: Elsevier

【 摘 要 】

Let H be a semisimple Hopf algebra and R a braided Hopf algebra in the category of Yetter-Drinfeld modules over H. When R is a Calabi-Yau algebra, a necessary and sufficient condition for R # H to be a Calabi-Yau Hopf algebra is given. Conversely, when H is the group algebra of a finite group and the smash product R # H is a Calabi-Yau algebra, we give a necessary and sufficient condition for the algebra R to be a Calabi-Yau algebra. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free