On monomial algebras with representation-finite enveloping algebras

作     者：Jianguo ZHOU Yuzhe LIU Chao ZHANG 

作者机构：School of Mathematics and statistics Guizhou University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期：2024年

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by National Natural Science Foundation of China (Grant Nos. 11961007, 12061060 and 12171207) Scientific Research Foundation of Guizhou University (Grant Nos.53 and 65) 

摘      要：The present paper mainly considers the representation type of the enveloping algebra of monomial *** A be a monomial algebra and Ae=A?kAopbe its enveloping *** is shown that Aeis representation-finite if and only if A～=An/rad2An,where Anis the path algebra k Q with Q=1-→2-→···-→***,we show that the number of all isoclasses of indecomposable (An/rad2An)e-modules is43n3+n2-73n+1,and classify all indecomposable modules over (An/rad2An)***,the Clebsch-Gordon problem over (A2n/radAn)eis studied.