On monomial algebras with representation-finite enveloping algebras
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.