Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank Taft algebra

被引：0

作者：

Guo, Yaguo ^{[1
]}

Yang, Sinlin ^{[1
]}

机构：

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

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Yetter-Drinfeld module; tensor product; the projective class ring; POINTED HOPF-ALGEBRAS; QUANTUM GROUPS; REPRESENTATIONS;

D O I：

10.3934/era.2023256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, all simple Yetter-Drinfeld modules and indecomposable projective Yetter-Drinfeld modules over the 2-rank Taft algebra A over bar are construted and classified by Radford's method of constructing Yetter-Drinfeld modules over a Hopf algebra. Furthermore, the projective class ring of the category of Yetter-Drinfeld modules over A over bar is described explicitly by generators and relations.

引用

页码：5006 / 5024

页数：19

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