乘子Hopf T-余代数的交叉表示范畴  

Crossed representation categories of multiplier Hopf T-coalgebras

作　　者：刘惠丽 杨涛[1] LIU Hui-li;YANG Tao(College of Science,Nanjing Agricultural University,Nanjing 210095,Jiangsu,China)

机构地区：[1]南京农业大学理学院,江苏南京210095

出　　处：《山东大学学报（理学版）》2022年第6期1-7,共7页Journal of Shandong University(Natural Science)

基　　金：中国博士后基金面上资助项目(2019M651764)。

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。Let A=⊕_(p∈G)A_(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.

关 键 词：乘子Hopf T-余代数 拟三角 辫子 交叉表示范畴 

分 类 号：O153.3[理学—数学]