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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Extensions of modules over Weyl algebras


Author: S. C. Coutinho
Journal: Trans. Amer. Math. Soc. 349 (1997), 3343-3352
MSC (1991): Primary 16S32; Secondary 16E30, 13N10
MathSciNet review: 1407699
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Abstract: In this paper we calculate some $\mathrm {Ext}$ groups of singular modules over the complex Weyl algebra $A_{n}$. In particular we determine conditions under which $\mathrm {Ext}$ is an infinite dimensional vector space when $n =2$ or $3$.


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Additional Information

S. C. Coutinho
Affiliation: Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970, Rio de Janeiro, RJ, Brazil
Email: collier@impa.br

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01901-6
PII: S 0002-9947(97)01901-6
Keywords: Weyl algebra, ${\mathcal{D}}$-module, characteristic variety, $\mathrm{Ext}$-groups
Received by editor(s): February 22, 1996
Article copyright: © Copyright 1997 American Mathematical Society