The extension group of the simple modules over the first Weyl algebra

被引：2

作者：

Bavula, VV

机构：

[1] Univ Instelling Antwerp, Dept Math & Comp Sci, B-2610 Wilrijk, Belgium

[2] Univ Edinburgh, Dept Math & Stat, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2000年 / 32卷

关键词：

D O I：

10.1112/S0024609399006608

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to prove that for certain generalized Weyl algebras A (including the first Weyl algebra A, over a field of characteristic zero) and for every simple left (right) A-module M, there are infinitely many non-isomorphic simple left (right) A-modules {N-i} such that Ext(A)(1)(M, N-i) not equal 0 (respectively Ext(A)(1),(N-i, M) not equal 0).

引用

页码：182 / 190

页数：9

共 9 条

[1]

Bavula V, 1996, B SCI MATH, V120, P293

[2] Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras [J].