乘子Hopf T-余代数的交叉表示范畴

doi:10.6040/j.issn.1671-9352.0.2021.520

《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (6): 1-7.doi: 10.6040/j.issn.1671-9352.0.2021.520

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乘子Hopf T-余代数的交叉表示范畴

刘惠丽,杨涛^*

南京农业大学理学院, 江苏南京 210095

发布日期:2022-06-10
作者简介:刘惠丽(1995— ), 女, 硕士研究生, 研究方向为Hopf代数. E-mail:710980586@qq.com*通信作者简介:杨涛(1984— ), 男, 副教授, 硕士生导师, 研究方向为Hopf代数. E-mail:tao.yang@njau.edu.cn
基金资助:
中国博士后基金面上资助项目(2019M651764)

Crossed representation categories of multiplier Hopf T-coalgebras

LIU Hui-li, YANG Tao^*

College of Science, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China

Published:2022-06-10

摘要/Abstract

摘要： 设A=⊕_p∈G A_p是群G上的乘子Hopf T-余代数,考虑其交叉左A-G模, 证明了交叉左A-G模范畴是一个幺半范畴且乘子R={R_p,q∈M(A_p⊗A_q)}_p,q∈G是A上的拟三角结构当且仅当A的交叉左A-G模范畴是辫子幺半范畴,辫子幺半范畴的辫子由R给出。

关键词: 乘子Hopf T-余代数, 拟三角, 辫子, 交叉表示范畴

Abstract: Let A=⊕_p∈GA_p be a multiplier Hopf T-coalgebra over a group of G. Considering its crossed left A-G-modules, and show the crossed left A-G-module category is a monoidal category, and that a family of multipliers R={R_p,q∈M(A_p⊗A_q)}_p,q∈G is a quasitriangular structure on A if and only if the crossed left A-G-module category over A is a braided monoidal category with the braiding c defined by R.

Key words: multiplier Hopf T-coalgebra, quasitriangular, braiding, crossed representation category

中图分类号:

O153.3

刘惠丽,杨涛. 乘子Hopf T-余代数的交叉表示范畴[J]. 《山东大学学报(理学版)》, 2022, 57(6): 1-7.

LIU Hui-li, YANG Tao. Crossed representation categories of multiplier Hopf T-coalgebras[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(6): 1-7.

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乘子Hopf T-余代数的交叉表示范畴

Crossed representation categories of multiplier Hopf T-coalgebras

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