Extensions of Certain Modules Over the First Weyl Algebra

作     者：肖杰 Freddy van Oystaeyen 

作者机构：Department of MathematicsBeijing Normal UniversityBeijing 100875PRC Department of Mathematics University of Antwerp UIA Antwerpen B-2610 Belgium 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：1994年第37卷第5期

页      面：535-546页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Weyl algebra Artinian module tube 

摘      要：Using a method stemming from the representation theory of finite-dimensional algebra’s,results about a category of Artinian modules over the first Weyl algebra consisting of objects having composition series with composition factors isomorphic to prescribed ones have been *** category corresponds to a tube of Z/2Z type and it is serial and *** Auslander-Reiten formula in this category describing the functor Ext,,(-,-) in terms of the AR-quiver has been *** dimensions of Ext4(M,N) for M and N in different tubes are calculated.