Der kanonische Modul eines Invariantenrings. (The canonical module of a ring of invariants)

DOI10.1016/0021-8693(89)90271-8zbMath0716.20021OpenAlexW2008043923MaRDI QIDQ752852

Friedrich Knop

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)90271-8

zbMATH Keywords

ring of invariantsgenerating functionreductive groupcanonical moduleaffine variety

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30)

Related Items (20)

Polarizations and Nullcone of Representations of Reductive Groups ⋮ Sur les modules de covariants ⋮ On the invariants of pencils of binary quintics. ⋮ Noncommutative resolutions and rational singularities ⋮ On deformation method in invariant theory ⋮ Degree bounds for syzygies of invariants ⋮ Generating invariant rings of quivers in arbitrary characteristic ⋮ Comparing the Kirwan and noncommutative resolutions of quotient varieties ⋮ The Hilbert series of SL2-invariants ⋮ Gorenstein modifications and \mathds{𝑄}-Gorenstein rings ⋮ Globally F-regular type of moduli spaces ⋮ On the Castelnuovo-Mumford regularity of rings of polynomial invariants ⋮ Polynomial bounds for rings of invariants ⋮ Degree bounds for semi-invariant rings of quivers ⋮ A presentation of the trace algebra of three \(3\times 3\) matrices. ⋮ A degree inequality for Lie algebras with a regular Poisson semi-center ⋮ The Hilbert series of measures of entanglement for 4 qubits ⋮ On actions of a maximal torus on orbits of highest weight vectors ⋮ Factorisation of generalised theta functions. I ⋮ Hilbert series and degree bounds for matrix (semi-)invariants

Cites Work

• Unnamed Item
• Über die Glattheit von Quotientenabbildungen. (On the smoothness of quotient maps)
• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• Der Grad erzeugender Funktionen von Invariantenringen. (The degree of generating functions of rings of invariants)
• Stable reflexive sheaves
• A generalization of the Chevalley restriction theorem
• Hilbert functions of graded algebras
• The Hochster-Roberts theorem of invariant theory
• Certain invariant subrings are Gorenstein. I
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• THE CONSTRUCTIVE THEORY OF INVARIANTS
• Combinatorics and commutative algebra

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