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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
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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

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