Involutive bases in the Weyl algebra.

DOI10.1006/jsco.2002.0556zbMath1054.16023OpenAlexW2025006498MaRDI QIDQ1864886

Marcus Hausdorf, Rainer Steinwandt, Werner M. Seiler

Publication date: 23 March 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2002.0556

zbMATH Keywords

Weyl algebrasGröbner basesleft idealsinvolutive basesmultiplicative monomial orders

Mathematics Subject Classification ID

Related Items (2)

Degree bounds for Gröbner bases in algebras of solvable type ⋮ A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type

Cites Work

• Idéaux de germes d'opérateurs différentiels à une variable
• Computing combinatorial decompositions of rings
• Hilbert functions of graded algebras
• The theory of involutive divisions and an application to Hilbert function computations
• Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial
• Involutive bases of polynomial ideals
• Minimal involutive bases
• A localization algorithm for \(D\)-modules
• Involutive systems of algebraic equations
• A Gröbner approach to involutive bases
• Gröbner deformations of hypergeometric differential equations
• Computer algebra methods for equivariant dynamical systems
• Hypergeometric functions and toric varieties
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