Triangulability criteria for additive group actions on affine space

DOI10.1016/0022-4049(96)87756-5zbMath0857.14024OpenAlexW2081810592WikidataQ56689597 ScholiaQ56689597MaRDI QIDQ1910733

Gene Freudenburg

Publication date: 19 May 1996

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

Full work available at URL: https://doi.org/10.1016/0022-4049(96)87756-5

zbMATH Keywords

one-parameter groupsautomorphisms of the polynomial ring

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (11)

Actions of \(G_a\) on \(\mathbb{A}^3\) defined by homogeneous derivations ⋮ A necessary and sufficient condition for triangulability of derivations of \(\mathbf k [X,Y,Z\)] ⋮ Triangulable locally nilpotent derivations in dimension three ⋮ Homogeneization of locally nilpotent derivations and an application to \(k[X,Y,Z\)] ⋮ Triangular derivations of \(\mathbf k[X,Y,Z\)] ⋮ Locally nilpotent derivations of factorial domains ⋮ The Super-Rank of a Locally Nilpotent Derivation of a Polynomial Ring ⋮ Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)] ⋮ Homogeneous locally nilpotent derivations of \(k[X,Y,Z\)] ⋮ Rank and rigidity of locally nilpotent derivations of affine fibrations ⋮ Newton polytopes of constants of locally nilpotent derivations

Cites Work

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• Stably tame automorphisms
• A non-triangular action of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ 3\)
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows, Morphisms, and G a -Actions. II

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