Extensions of Certain Modules Over the First Weyl Algebra

被引：0

作者：

肖杰

Freddy van Oystaeyen

机构：

[1] Department of Mathematics University of Antwerp UIA Antwerpen B-2610 Belgium

[2] PRC

[3] Beijing 100875

[4] Department of Mathematics

[5] Beijing Normal University

来源：

Science China Mathematics | 1994年 / 05期

关键词：

Weyl algebra; Artinian module; tube;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

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 obtained.This category corresponds to a tube of Z/2Z type and it is serial and standard.The Auslander-Reiten formula in this category describing the functor Ext,,(-,-) in terms of the AR-quiver has been derived.The dimensions of Ext4(M,N) for M and N in different tubes are calculated.

引用

页码：535 / 546

页数：12