This paper proves that every indecomposable module over a representation-finite selfinjective algebra of class An is uniquely determined by its Loewy factors and every indecomposable module is multiplicity-free. As an...This paper proves that every indecomposable module over a representation-finite selfinjective algebra of class An is uniquely determined by its Loewy factors and every indecomposable module is multiplicity-free. As an application to the representation theory of finite groups, it is obtained that every indecomposable module over blocks with cycle defect groups is uniquely determined by its Loewy factors and every indecomposable module is multiplicity-free.展开更多
文摘This paper proves that every indecomposable module over a representation-finite selfinjective algebra of class An is uniquely determined by its Loewy factors and every indecomposable module is multiplicity-free. As an application to the representation theory of finite groups, it is obtained that every indecomposable module over blocks with cycle defect groups is uniquely determined by its Loewy factors and every indecomposable module is multiplicity-free.
