Annihilator Ideals of Indecomposable Modules of Finite-Dimensional Pointed Hopf Algebras of Rank One  

作　　者：Yu Wang 

机构地区：[1]School of Mathematics and Physics,Jiangsu University of Technology Changzhou,Jiangsu 213001,China

出　　处：《Algebra Colloquium》2024年第1期149-164,共16页代数集刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12371041).

摘　　要：Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed feld of characteristic zero.We describe all annihilator ideals of indecomposable H-modules by generators.In particular,we give the classification of all ideals of the finite-dimensional pointed rank one Hopf algebra of nilpotent type over the Klein 4-group.

关 键 词：indecomposable module annihilator ideal primitive central orthogonal idem-potent element 

分 类 号：O15[理学—数学]