Hopf箭图的性质及其判定定理  

The Properties and Judgment of Hopf Quiver

作　　者：郭风军[1] 王磊[2] 

机构地区：[1]天津工业大学数理学院,天津300160 [2]滨州学院数学与信息科学系,山东滨州256603

出　　处：《许昌学院学报》2009年第2期7-9,共3页Journal of Xuchang University

基　　金：滨州学院科学基金项目(BZXYLG200707)

摘　　要：讨论Hopf箭图的基本性质,并考虑到利用定义去判定一个箭图是Hopf箭图的复杂性,给出了以循环群或整数加群为顶点集的箭图是对应基本分歧数的Hopf箭图的充分必要条件是其邻接矩阵是基本Hopf箭图矩阵的和.In this paper,the fundamental properties of Hopf quiver is studied.Since it＇s complex to judge if a quiver is Hopf quiver only according to the definition,the paper proves that the quiver,with the vertex set of a cyclic group or integer additive group as its vertex set,is Hopf quiver of basic ramification number if and only if the adjacent matrix is the sum of the basic Hopf quiver matrix.

关 键 词：Hopf箭图 HOPF代数 分歧数 基本Hopf箭图矩阵 

分 类 号：O153.3[理学—数学] O151.21[理学—基础数学]