Title
The extension group of the simple modules over the first Weyl algebra The extension group of the simple modules over the first Weyl algebra
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
London ,
Subject
Mathematics
Source (journal)
Bulletin of the London Mathematical Society. - London, 1969, currens
Volume/pages
32(2000) :Part 2 , p. 182-190
ISSN
0024-6093
ISI
000086053700009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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).
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