Gelfand-Kirillov dimension and associated graded modules

DOI10.1016/0021-8693(89)90301-3zbMath0688.16030OpenAlexW2092725080MaRDI QIDQ1263652

John C. McConnell, J. Toby Stafford

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90301-3

zbMATH Keywords

finitely generated moduleenveloping algebras of Lie algebrasgraded modulegraded ringring of differential operatorsfiltered k-algebraGelfand-Kirillov dimensions

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (10)

The quantum coordinate ring of the special linear group ⋮ Gelfand-Kirillov dimension of multi-filtered algebras ⋮ Growth of graded noetherian rings ⋮ Holonomic and perverse logarithmic D-modules ⋮ Structure sheaves on almost commutative algebras ⋮ The quantum analog of a symmetric pair: a construction in type (𝐶_{𝑛},𝐴₁×𝐶_{𝑛-1}) ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Re-filtering and exactness of the Gelfand-Kirillov dimension ⋮ Invariant differential operators on the tangent space of some symmetric spaces ⋮ Quantization of the Marsden-Weinstein reduction for extended dynkin quivers

Cites Work

• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• Rings of differential operators on classical rings of invariants
• Gelfand-Kirillov Dimension of Rings of Formal Differential Operators on Affine Varieties
• Gel’fand-kirillov dimensions of factor rings
• Rings of Differential Operators on Invariant Rings of Tori
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Differential Operators on an Affine Curve
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