Some finiteness results on triangular automorphisms

DOI10.1007/s00025-022-01612-9OpenAlexW4213137945MaRDI QIDQ2114975

K. V. Shakhmatov, Ivan V. Arzhantsev

Publication date: 15 March 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01202

zbMATH Keywords

affine spacealgebraic grouptriangular automorphismregular action

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20)

Related Items (1)

Tits-type alternative for certain groups acting on algebraic surfaces

Cites Work

• Dixmier groups and Borel subgroups
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• Borel subgroups of Cremona groups
• Groups of triangular automorphisms of a free associative algebra and a polynomial algebra.
• Lie algebras of vertical derivations on semiaffine varieties with torus actions
• Algebraic theory of locally nilpotent derivations
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