σ-次对称矩阵相关的代数以及KLR代数（英文）  

Algebras Associated to σ-persymmetric Matrices and KLR Algebras

作　　者：徐华博[1,2,3] 杨士林 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]河北经贸大学数学与统计学学院,石家庄河北050061 [3]首都师范大学数学科学学院,北京100048

出　　处：《数学进展》2017年第6期875-887,共13页Advances in Mathematics（China）

基　　金：supported by NSFC(No.11271043,No.11471186);NSF of Beijing(No.1162002);the postdoctoral research foundation of Capital Normal University(No.043175606800/021)

摘　　要：本文给出了σ-次对称矩阵的定义;根据无向图定义了一个σ-次对称矩阵T,由T生成代数Τ,利用组合的方法确定了Τ不可分解的投射模,并且证明了Τ同构于一类特殊的KLR代数.In this paper the concept of σ-persymmetric matrices is introduced. Then an algebra τ generated by a particular σ-persymmetric matrix associated to an unoriented graph is studied. All the indecomposable projective modules of τ are determined in a combinational way. It is shown that τ is isomorphic to some KLR algebra.

关 键 词：σ-次对称矩阵 权图 KLR代数 

分 类 号：O154.2[理学—数学]