On the invariant theory of finite groups: Orbit polynomials and splitting principles

DOI10.1016/0021-8693(87)90040-8zbMath0652.20046OpenAlexW2094123903MaRDI QIDQ1106949

Robert E. Stong, Larry Smith

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90040-8

zbMATH Keywords

orbitsgeneratorsEuler classinvariant theorysymmetric algebraorbit structurealgebra of polynomialspolynomial generatorspseudoreflections

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Vector and tensor algebra, theory of invariants (15A72)

Related Items

SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS, Towers and Injective Cohomology Algebras, Modular invariant theory of parabolic subgroups of \(GL_ n(\mathbb{F}_ q)\) and the associated Steenrod modules, Orbit Chern classes, Invariant theory and Steenrod operations – maps between rings of invariants, Polynomial invariants of finite groups. A survey of recent developments, An invariant-theoretic property of certain CR-mappings, On vector invariants over finite fields, Invariant theory and \(H^ *(GL_ n({\mathbb{F}}_ p);{\mathbb{F}}_ p)\), Thom modules and pseudoreflection groups, The ring of invariants of \(O(3,\mathbb{F}_q)\)

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