Representations of a non-pointed Hopf algebra

被引：2
|
作者：
Yang, Ruifang [1 ]
Yang, Shilin [1 ]
机构：
[1] Beijing Univ Technol, Fac Sci, Coll Math, Beijing 100124, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Hopf algebra; representation type; indecomposable module; tensor product; representation ring; GREEN RINGS;
D O I：
10.3934/math.2021611
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct all the indecomposable modules of a class of non-pointed Hopf algebras, which are quotient Hopf algebras of a class of prime Hopf algebras of GK-dimension one. Then the decomposition formulas of the tensor product of any two indecomposable modules are established. Based on these results, the representation ring of the Hopf algebras is characterized by generators and some relations.
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页码：10523 / 10539
页数：17
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