Preantipodes for dual quasi-bialgebras

被引：4

作者：

Ardizzoni, Alessandro ^{[1
]}

Pavarin, Alice ^{[2
]}

机构：

[1] Univ Ferrara, Dept Math, I-44121 Ferrara, Italy

[2] Univ Padua, Dept Pure & Appl Math, I-35121 Padua, Italy

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2012年 / 192卷 / 01期

关键词：

HOPF ALGEBRAS;

D O I：

10.1007/s11856-012-0024-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that a dual quasi-bialgebra with antipode H, i.e., a dual quasi-Hopf algebra, fulfils a fundamental theorem for right dual quasi-Hopf H-bicomodules. The converse in general is not true. We prove that, for a dual quasi-bialgebra H, the structure theorem is equivalent to the existence of a suitable map S: H -> H that we call a preantipode of H.

引用

页码：281 / 295

页数：15

共 11 条

[1] Quasialgebra structure of the octonions [J].