Hilbert's fourteenth problem for non-reductive groups

DOI10.1007/BF01163357zbMath0579.14015WikidataQ56564621 ScholiaQ56564621MaRDI QIDQ1066963

Frank D. Grosshans

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173771

zbMATH Keywords

Hilbert's fourteenth problemalgebraic groupfinite generation of algebra of invariant functions

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups and related topics (20G99)

Related Items (6)

On the Popov–Pommerening conjecture for linear algebraic groups ⋮ Weight spaces of invariants of certain unipotent group actions ⋮ Reduction and reconstruction for symmetric ordinary differential equations ⋮ On a problem of Pommerening in invariant theory ⋮ Geometric theory of invariants of groups generated by reflections ⋮ On Hilbert's fourteenth problem for varieties of complexity one.

Cites Work

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• Young diagrams and determinantal varieties
• Instability in invariant theory
• Some remarks on algebraic groups
• On Quotient Varieties and the Affine Embedding of Certain Homogeneous Spaces
• PICARD GROUPS OF HOMOGENEOUS SPACES OF LINEAR ALGEBRAIC GROUPS AND ONE-DIMENSIONAL HOMOGENEOUS VECTOR BUNDLES
• Observable Groups and Hilbert's Fourteenth Problem
• Lie Group Representations on Polynomial Rings
• On Homogeneous Affine Spaces of Linear Algebraic Groups

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