Semistable representations of quivers with automorphism  

作　　者：WANG XinTian 

机构地区：[1]School of Mathematical Sciences, Beijing Normal University

出　　处：《Science China Mathematics》2016年第6期1051-1060,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11271043)

摘　　要：Let Q be a quiver with automorphism σ. We prove that semistable representations of Q over F_q give rise to semistable modules over the F_q-algebra A(Q, σ; q) associated with(Q, σ). As an application, we obtain a description of the semistable subcategories of A(Q, σ; q)-modules and determine the slopes of semistable A(Q, σ; q)-modules in the case that Q is a Dynkin or tame quiver.Let Q be a quiver with automorphism σ. We prove that semistable representations of Q over F_q give rise to semistable modules over the F_q-algebra A（Q, σ; q） associated with（Q, σ）. As an application, we obtain a description of the semistable subcategories of A（Q, σ; q）-modules and determine the slopes of semistable A（Q, σ; q）-modules in the case that Q is a Dynkin or tame quiver.

关 键 词：quiver with automorphism Frobenius morphism semistable module 

分 类 号：O153.3[理学—数学]