Representations of Drinfeld doubles of Radford Hopf algebras  

作　　者：Hua Sun Hui-Xiang Chen 

机构地区：[1]School of Mathematical Science,Yangzhou University,Yangzhou 225002,China

出　　处：《Science China Mathematics》2025年第4期761-784,共24页中国科学(数学英文版)

基　　金：supported by National Natural Science Foundation of China(Grant Nos.12201545 and 12071412)。

摘　　要：In this article,we investigate the representations of the Drinfeld doubles D(Rmn(q))of the Radford Hopf algebras Rmn(q)over an algebraically closed field k,where m>1 and n>1 are integers and q∈k is a root of unity of order n.Under the assumption char(k)■mn,all the finite-dimensional indecomposable modules over D(Rmn(q))are displayed and classified up to isomorphism.The Auslander-Reiten sequences in the category of finite-dimensional D(Rmn(q))-modules are also all displayed.It is shown that D(Rmn(q))is of tame representation type.

关 键 词：Drinfeld double Radford algebra REPRESENTATION indecomposable module Auslander-Reiten sequence 

分 类 号：O15[理学—数学]