Cyclic irreducible non-holonomic modules over the Weyl algebra: an algorithmic characterization.

DOI10.1016/j.jpaa.2010.06.005zbMath1250.16021OpenAlexW2061806042MaRDI QIDQ616331

Yves Lequain

Publication date: 7 January 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.06.005

zbMATH Keywords

algorithmsWeyl algebrasdifferential operatorsmaximal left idealsirreducible non-holonomic modules

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Derivations and commutative rings (13N15) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25) Computational aspects of associative rings (general theory) (16Z05)

Related Items (4)

The category of weight modules for symplectic oscillator Lie algebras ⋮ On Shamsuddin derivations and the isotropy groups ⋮ Simple derivations on tensor product of polynomial algebras ⋮ On simple Shamsuddin derivations in two variables

Cites Work

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• Algebraic varieties preserved by generic flows
• On non-holonomic irreducible \(D\)-modules
• Simple Shamsuddin derivations of \(K[X;Y_{1},\cdots ,Y_{n}\): An algorithmic characterization]
• d-Simple rings and simple -modules
• D-SIMPLE RINGS AND PRINCIPAL MAXIMAL IDEALS OF THE WEYL ALGEBRA

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