The Calabi-Yau property of smash products.
type: Item
instance of: scholarly article
title: The Calabi-Yau property of smash products.
zbMATH Open document ID: 1273.16032
author: Yinhuo Zhang
author: Xiaolan Yu
published in: Journal of Algebra
publication date: 2012-11-09T00:00:00Z
review text: This paper mainly talks about the Calabi-Yau property of smash products. The authors solve two interesting questions. One is when is the smash product \(R\#H\) a Calabi-Yau Hopf algebra, where \(R\) is a Calabi-Yau algebra and \(H\) is a semisimple Hopf algebra? Conversely, when is \(R\) a Calabi-Yau algebra under the assumptions that \(H\) is the group algebra of a finite group and the smash product \(R\#H\) is a Calabi-Yau algebra? The authors find necessary and sufficient conditions for both of the above two questions.
Mathematics Subject Classification ID: 16T05
Mathematics Subject Classification ID: 16S40
Mathematics Subject Classification ID: 16E40
zbMATH DE Number: 6104622
zbMATH Keywords: semisimple Hopf algebras
zbMATH Keywords: smash products
zbMATH Keywords: Calabi-Yau algebras
zbMATH Keywords: braided Hopf algebras
reviewed by: Liangyun Zhang
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2012.03.002
OpenAlex ID: W2010692909
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DOI: 10.1016/J.JALGEBRA.2012.03.002
description: scientific article; zbMATH DE number 6104622