■_4型箭图的Hall多项式  

Hall polynomials for affine quivers of type ■_4

作　　者：谢涛[1] 

机构地区：[1]湖北师范学院数学系,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2007年第1期1-5,共5页Journal of Hubei Normal University(Natural Science)

摘　　要：利用仿射箭图的表示范畴的性质把Hall多项式的计算问题归结到一些矩阵方程的解的个数问题。用此方法,得到了■4型箭图的不可分解予投射予内射表示的Hall多项式。It is well-known that Hall polynomials as structure coefficients play an important role in the structure of Lie algebras and quantum groups.By using the properties of representation categories of affine quivers,the task of computing Hall polynomials for affine quivers can be reduced to the enumerative problem of some matrix equations.This method has been applied to obtain Hall polynomials for indecomposable preprojective and preinjective representations of quivers of type Trial mode.

关 键 词：仿射箭图 予投射模 予内射模 HALL多项式 

分 类 号：O154[理学—数学]