Representation rings of extensions of Hopf algebra of Kac-Paljutkin type

被引：1

作者：

Su, Dong ^{[1
]}

Yang, Shilin ^{[2
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[2] Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 09期

基金：

中国国家自然科学基金;

关键词：

triangle -associative algebra; tensor product; representation ring; GREEN RINGS; MODULES;

D O I：

10.3934/era.2024240

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we focus on studying two classes of finite dimensional triangle-associative algebras, which are extensions of a family of 2n2 2-dimensional Kac-Paljutkin type semi-simple Hopf algebras H2n2. 2n 2 . All their indecomposable modules are classified. Furthermore, their representation rings are described by generators with suitable relations.

引用

页码：5201 / 5230

页数：30

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