Extensions of modules over Weyl algebras

DOI10.1090/S0002-9947-97-01901-6zbMath0917.16010OpenAlexW1508015298MaRDI QIDQ4372548

S. C. Coutinho

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01901-6

zbMATH Keywords

Weyl algebras\(D\)-modulescharacteristic varietiesholonomic modulesExt-groupssingular modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (1)

On involutive homogeneous varieties and representations of Weyl algebras

Cites Work

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• \(d\)-critical modules of length 2 over Weyl algebras
• Algebraic varieties preserved by generic flows
• Characteristic varieties and vanishing cycles
• On non-holonomic irreducible \(D\)-modules
• Theory of prehomogeneous vector spaces without regularity condition
• B-functions and holonomic systems. Rationality of roots of B-functions
• Modules of codimension one over Weyl algebras
• The Integrability of the Characteristic Variety
• Krull Dimension of Modules and Involutive Ideals

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