Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-10T16:17:16.191Z Has data issue: false hasContentIssue false
  • English
  • Français

THE EXTENSION GROUP OF THE SIMPLE MODULES OVER THE FIRST WEYL ALGEBRA

Published online by Cambridge University Press:  01 March 2000

V. V. BAVULA
V. V. BAVULA
Affiliation:
University of Antwerp (U.I.A.), Department of Mathematics and Computer Science, Universiteitsplein, 1, B-2610, Wilrijk, Belgium Department of Mathematics and Statistics, The University of Edinburgh, J. C. Maxwell Building, King's Building, Mayfield Road, Edinburgh EH9 3JZ
Get access

Abstract

The aim of this paper is to prove that for certain generalized Weyl algebras A (including the first Weyl algebra A1 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 {Ni} such that Ext1A (M, Ni) ≠ 0 (respectively Ext1A(Ni, M) ≠ 0.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 2 , March 2000 , pp. 182 - 190
Copyright
© The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)