典型文献
The Cell Modules of the Green Algebra of Drinfel'd Quantum Double D(H4)
文献摘要：
This paper is devoted to studying the structures of the cell modules of the complexified Green algebraR(D(H4)),where D(H4)is the Drinfel'd quantum double of Sweedler's 4-dimensional Hopf algebraH4.We show thatR(D(H4))has one infinite dimensional cell module,one 4-dimensional cell module generated by all finite dimensional indecomposable projective modules of D(H4)and in-finitely many 2-dimensional cell modules.More precisely,we obtain the decompositions of all finite dimensional cell modules into the direct sum of indecomposable submodules,and show that the infinite dimensional cell module can be written as the direct sum of two infinite dimensional indecomposable submodules.
文献关键词：
中图分类号：
作者姓名：
Liu Feng CAO;Hui Xiang CHEN;Li Bin LI
作者机构：
School of Mathematical Science,Yangzhou University,Yangzhou 225002,P.R.China
文献出处：
引用格式：
[1]Liu Feng CAO;Hui Xiang CHEN;Li Bin LI-.The Cell Modules of the Green Algebra of Drinfel'd Quantum Double D(H4))[J].数学学报（英文版）,2022(06):1116-1132
A类：
Drinfel,complexified,algebraR,Sweedler,algebraH4,thatR
B类：
Cell,Modules,Green,Algebra,Quantum,Double,This,paper,devoted,studying,structures,cell,where,quantum,double,dimensional,Hopf,We,show,has,one,infinite,generated,by,all,indecomposable,projective,finitely,many,More,precisely,obtain,decompositions,into,direct,sum,submodules,can,be,written,two
AB值：
0.402587
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