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

共 50 条

[31] ADJUNCTIONS IN MONOIDAL CATEGORIES
LINDNER, H
MANUSCRIPTA MATHEMATICA, 1978, 26 (1-2) : 123 - 139
[32] A note on the biadjunction between 2-categories of traced monoidal categories and tortile monoidal categories
Hasegawa, Masahito
Katsumata, Shin-Ya
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2010, 148 : 107 - 109
[33] Autonomization of monoidal categories
Delpeuch, Antonin
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2020, (323): : 24 - 43
[34] Involutive Monoidal Categories
Yau, Donald
INVOLUTIVE CATEGORY THEORY, 2020, 2279 : 71 - 105
[35] Traced monoidal categories
Joyal, A
Street, R
Verity, D
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 119 : 447 - 468
[36] DESCENT IN MONOIDAL CATEGORIES
Mesablishvili, Bachuki
THEORY AND APPLICATIONS OF CATEGORIES, 2012, 27 : 210 - 221
[37] BIPRODUCTS IN MONOIDAL CATEGORIES
Zekic, Mladen
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2021, 110 (124): : 1 - 9
[38] AFFINIZATION OF MONOIDAL CATEGORIES
Mousaaid, Youssef
Savage, Alistair
JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2021, 8 : 791 - 829
[39] SYMMETRIC MONOIDAL CATEGORIES AND F-CATEGORIES
Sharma, Amit
THEORY AND APPLICATIONS OF CATEGORIES, 2020, 35 : 417 - 512
[40] EMBEDDING OF CLOSED CATEGORIES INTO MONOIDAL CLOSED CATEGORIES
LAPLAZA, ML
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 233 (OCT) : 85 - 91

← 1 2 3 4 5 →