On involutive homogeneous varieties and representations of Weyl algebras

DOI10.1006/jabr.1999.8234zbMath0991.16021OpenAlexW2015119674MaRDI QIDQ1977566

S. C. Coutinho

Publication date: 10 April 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a629f832d804cc5bcf4a1107df47a635b94562df

zbMATH Keywords

Weyl algebrasfinitely generated modulesgraded modulesirreducible modulesalgebraic varietiesBernstein filtrations

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Sheaves of differential operators and their modules, (D)-modules (32C38) Rings of differential operators (associative algebraic aspects) (16S32) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (1)

Symplectic enumeration

Cites Work

• Non-holonomic modules over Weyl algebras and enveloping algebras
• Algebraic varieties preserved by generic flows
• On non-holonomic irreducible \(D\)-modules
• On the holonomic systems of linear differential equations. II
• Involutive varieties with smooth support
• Modules of codimension one over Weyl algebras
• The Integrability of the Characteristic Variety
• Extensions of modules over Weyl algebras
• Krull Dimension of Modules and Involutive Ideals
• Conormal varieties and characteristic varieties
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