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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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