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

Authors
Citation
Vv. Bavula, The extension group of the simple modules over the first Weyl algebra, B LOND MATH, 32, 2000, pp. 182-190
Citations number
9
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
32
Year of publication
2000
Part
2
Pages
182 - 190
Database
ISI
SICI code
0024-6093(200003)32:<182:TEGOTS>2.0.ZU;2-A
Abstract
The aim of this paper is to prove that for certain generalized Weyl algebra s A (including the first Weyl algebra A, over a field of characteristic zer o) 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).