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
收藏
页码：27 / 43
页数：17
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