Quasitriangular Hopf group-quasialgebras and generalized quantum Yang-Baxter equations

被引：0

作者：

Zhang, Senlin ^{[1
]}

Wang, Shuanhong ^{[1
]}

机构：

[1] Southeast Univ Nanjing, Sch Math, Shing Tung Yau Ctr, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 07期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1063/5.0082774

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce and study a large class of algebras (possibly nonassociative) with group-coalgebraic structures, Hopf nonassociative group-coalgebras, which provide a unifying framework for classical Hopf algebras, Turaev's Hopf group-coalgebras, and Hopf quasigroups. Then, we introduce and discuss the notion of a quasitriangular Hopf pi-quasialgebra and show that the category Qrep(H)(R) of quasirepresentations over any quasitriangular Hopf pi-quasialgebra (H, R) is a braided pi-category. As an application of our theory, we give a new solution to the generalized quantum Yang-Baxter equation.

引用

页数：15

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