JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (6): 1-7.doi: 10.6040/j.issn.1671-9352.0.2021.520

   

Crossed representation categories of multiplier Hopf T-coalgebras

LIU Hui-li, YANG Tao*   

  1. College of Science, Nanjing Agricultural University, Nanjing 210095, Jiangsu, China
  • Published:2022-06-10

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Abstract: Let A=⊕p∈GAp 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={Rp,q∈M(Ap⊗Aq)}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

CLC Number: 

  • O153.3
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