WEAK BIALGEBRAS AND MONOIDAL CATEGORIES

被引：19

作者：

Boehm, G. ^{[2
]}

Caenepeel, S. ^{[1
]}

Janssen, K. ^{[1
]}

机构：

[1] Vrije Univ Brussel, Fac Engn, B-1050 Brussels, Belgium

[2] Res Inst Particle & Nucl Phys, Budapest, Hungary

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 12期

基金：

匈牙利科学研究基金会;

关键词：

Monoidal category; Weak bialgebra; FROBENIUS ALGEBRAS; QUANTUM GROUPOIDS; HOPF; MONADS;

D O I：

10.1080/00927872.2011.616438

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study monoidal structures on the category of (co)modules over a weak bialgebra. Results due to Nill and Szlachanyi are unified and extended to infinite algebras. We discuss the coalgebra structure on the source and target space of a weak bialgebra.

引用

页码：4584 / 4607

页数：24

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