Counting the number of indecomposable representations and a q-analogue of the Weyl-Kac denominator identity of type _n  

作　　者：OBUL Abdukadir 

机构地区：[1]College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China

出　　处：《Science China Mathematics》2008年第6期1027-1035,共9页中国科学：数学（英文版）

基　　金：the Doctoral Program of Higher Education(Grant No.20030027002)

摘　　要：By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n.By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n.

关 键 词：FROBENIUS map F-stable representation QUIVER with AUTOMORPHISM denominator IDENTITY 

分 类 号：O153[理学—数学]