An algorithm for computing invariants of linear actions of algebraic groups up to a given degree.

DOI10.1016/S0747-7171(03)00033-6zbMath1039.13007OpenAlexW1976969286MaRDI QIDQ1401909

Thomas Bayer

Publication date: 19 August 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(03)00033-6

zbMATH Keywords

algorithmMagmahomogeneous invariants

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Computational aspects and applications of commutative rings (13P99) Actions of groups on commutative rings; invariant theory (13A50) Linear algebraic groups and related topics (20G99)

Uses Software

• finvar.lib
• Magma
• SINGULAR
• ainvar.lib
• rinvar.lib

Cites Work

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• Generating a Noetherian normalization of the invariant ring of a finite group
• Computation of invariants for reductive groups
• An algorithm to calculate optimal homogeneous systems of parameters
• Note on a counterexample to Hilbert's fourteenth problem given by P. Roberts
• The Magma algebra system. I: The user language
• Computational invariant theory
• Computer algebra methods for equivariant dynamical systems
• Calculating invariant rings of finite groups over arbitrary fields
• Geometric Quotients of Unipotent Group Actions
• On the 14-th Problem of Hilbert
• Algorithms in invariant theory
• An algorithm to compute the kernel of a derivation up to a certain degree
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

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