An approach to quasi-Hopf algebras via Frobenius coordinates

被引：6

作者：

Kadison, L ^{[1
]}

机构：

[1] Gothenburg Univ, Inst Matemat, S-41296 Gothenburg, Sweden

来源：

JOURNAL OF ALGEBRA | 2006年 / 295卷 / 01期

关键词：

quasi-bialgebra; quasi-Hopf algebra; Frobenius algebra; antipode; separable algebra;

D O I：

10.1016/j.jalgebra.2005.09.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：27 / 43

页数：17

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