On computing the polynomial invariants of a finite group

DOI10.1080/03081088508817678zbMath0595.20042OpenAlexW2075290579MaRDI QIDQ3726341

Edgar Ascher, David A. Gay

Publication date: 1985

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088508817678

zbMATH Keywords

invariantsreal representationhomogeneous polynomialspolynomial basis

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Applications of linear algebraic groups to the sciences (20G45)

Cites Work

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• Most primitive groups have messy invariants
• Partition identities and invariants of finite groups
• Relative invariants of crystallographic point groups
• Invariants of finite groups and their applications to combinatorics
• Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
• Extended integrity bases of finite groups
• Lie Group Representations on Polynomial Rings
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections

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