The ring of upper triangular invariants as a module over the Dickson invariants

DOI10.1007/BF01445259zbMath0863.55011OpenAlexW2078559584MaRDI QIDQ2563408

I. P. Hughes, H. E. A. Campbell

Publication date: 10 June 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165462

zbMATH Keywords

Poincaré polynomialring of invariantsDickson invariants

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

2-dimensional vector invariants of parabolic subgroups of \(Gl_ 2({\mathbb{F}}_ p)\) over the field \({\mathbb{F}}_ p^ 1\) ⋮ Bases for rings of coinvariants ⋮ The module structure of a group action on a polynomial ring: A finiteness theorem ⋮ Modular invariants of a vector and a covector: a proof of a conjecture of Bonnafé and Kemper

Cites Work

• Noetherian cohomology rings and finite loop spaces with torsion
• A primer on the Dickson invariants
• Rings of Invariants and p-Sylow Subgroups
• Invariants of finite groups and their applications to combinatorics
• Poincare Duality and the Ring of Coinvariants
• Differential Equations Invariant Under Finite Reflection Groups