A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS

被引：0
|
作者：
Yang, Tao [1 ]
Zhou, Xuan [2 ]
Zhu, Haixing [3 ]
机构：
[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Jiangsu, Peoples R China
[2] Jiangsu Second Normal Univ, Dept Math, Nanjing 210013, Jiangsu, Peoples R China
[3] Nanjing Forestry Univ, Coll Econ & Management, Nanjing 210037, Jiangsu, Peoples R China
来源：
GLASGOW MATHEMATICAL JOURNAL | 2020年 / 62卷 / 01期
基金：
中国国家自然科学基金;
关键词：
16T05; 17B37; BRAIDED T-CATEGORIES;
D O I：
10.1017/S0017089518000514
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a multiplier Hopf algebra pairing A,B, we construct a class of group-cograded multiplier Hopf algebras D(A,B), generalizing the classical construction of finite dimensional Hopf algebras introduced by Panaite and Staic Mihai [Isr. J. Math. 158 (2007), 349-365]. Furthermore, if the multiplier Hopf algebra pairing admits a canonical multiplier in M(B circle times A) we show the existence of quasitriangular structure on D(A,B). As an application, some special cases and examples are provided.
引用
收藏
页码：43 / 57
页数：15
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