A New Approach to Braided T-Categories and Generalized Quantum Yang-Baxter Equations

被引：1

作者：

Zhang, Senlin ^{[1
]}

Wang, Shuanhong ^{[2
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

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

来源：

MATHEMATICS | 2022年 / 10卷 / 06期

基金：

中国国家自然科学基金;

关键词：

braided T-category; quantum Yang-Baxter equation; Hopf (non)coassociative group-algebra; quasitriangular Hopf (non)coassociative pi-algebra; YETTER-DRINFELD MODULES; HOPF; BIALGEBRAS; ALGEBRAS; THEOREM;

D O I：

10.3390/math10060968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras. Hopf (non)coassociative group-algebras provide a unifying framework for classical Hopf algebras and Hopf group-algebras and Hopf coquasigroups. We introduce and discuss the notion of a quasitriangular Hopf (non)coassociative pi-algebra and show some of its prominent properties, e.g., antipode S is bijective. As an application of our theory, we construct a new braided T-category and give a new solution to the generalized quantum Yang-Baxter equation.

引用

页数：40

共 50 条

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