Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/13661
Title: The Calabi-Yau property of smash products
Authors: Yu, Xiaolan
ZHANG, Yinhuo 
Issue Date: 2012
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Source: JOURNAL OF ALGEBRA, 358, p. 189-214
Abstract: 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.
Notes: [Zhang, Yinhuo] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. [Yu, Xiaolan] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China.
Keywords: Calabi-Yau algebra; Braided Hopf algebra; Smash product;Mathematics; Calabi-Yau algebra; Braided Hopf algebra; Smash product
Document URI: http://hdl.handle.net/1942/13661
ISSN: 0021-8693
e-ISSN: 1090-266X
DOI: 10.1016/j.jalgebra.2012.03.002
ISI #: 000302850800015
Category: A1
Type: Journal Contribution
Validations: ecoom 2013
Appears in Collections:Research publications

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