Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type

被引：6

作者：

Chen, Jialei ^{[1
]}

Yang, Shilin ^{[1
]}

Wang, Dingguo ^{[2
]}

机构：

[1] Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2021年 / 16卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Grothendieck ring; Hopf algebra; irreducible module; GREEN RINGS; REPRESENTATION RING;

D O I：

10.1007/s11464-021-0893-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the Grothendieck rings of a class of 2n(2) dimensional semisimple Hopf Algebras H-2n2; which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H-8. All irreducible H-2n2-modules are classified. Furthermore, we describe the Grothendieck rings r(H-2n2) by generators and relations explicitly.

引用

页码：29 / 47

页数：19

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