The Dual and the Double of a Hopf Algebroid are Hopf Algebroids

被引：6

作者：

Schauenburg, Peter ^{[1
]}

机构：

[1] Univ Bourgogne Franche Comte, Inst Math Bourgogne, CNRS, UMR5584, F-21000 Dijon, France

来源：

APPLIED CATEGORICAL STRUCTURES | 2017年 / 25卷 / 01期

关键词：

Bialgebroid; Hopf algebroid; Duality;

D O I：

10.1007/s10485-015-9418-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a x-bialgebra in the sense of Takeuchi. We show that if H is x-Hopf, and if H fulfills the finiteness condition necessary to define its skew dual H (a<spacing diaeresis>), then the coopposite of the latter is x-Hopf as well. If in addition the coopposite x-bialgebra of H is x-Hopf, then the coopposite of the Drinfeld double of H is x-Hopf, as is the Drinfeld double itself, under an additional finiteness condition.

引用

页码：147 / 154

页数：8