An approach to quasi-Hopf algebras via Frobenius coordinates

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• 作者：Lars Kadison
• 关键词：Quasi-bialgebra ; Quasi-Hopf algebra ; Frobenius algebra ; Antipode ; Separable algebra
• 刊名：Journal of Algebra
• 出版年：2006
• 出版时间：1 January 2006
• 年：2006
• 卷：295
• 期：1
• 页码：27-43
• 全文大小：136 K

文摘

We study quasi-Hopf algebras and their subobjects over certain commutative rings from the point of view of Frobenius algebras. We introduce a type of Radford formula involving an anti-automorphism and the Nakayama automorphism of a Frobenius algebra, then view several results in quantum algebras from this vantage-point. In addition, separability and strong separability of quasi-Hopf algebras are studied as Frobenius algebras.