Degree bounds -- an invitation to postmodern invariant theory

DOI10.1016/j.topol.2005.07.014zbMath1115.13012OpenAlexW2014421966MaRDI QIDQ869667

Mara D. Neusel

Publication date: 8 March 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.07.014

zbMATH Keywords

Weyl groupsgroup cohomologydegree boundsinvariant theory of finite groups

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50)

Related Items

The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. ⋮ Invariant theory of Artin-Schelter regular algebras: a survey ⋮ The large Davenport constant. II: General upper bounds. ⋮ The invariants of modular indecomposable representations of \({\mathbb Z}_{p^2}\) ⋮ On a Theorem of Göbel on Permutation Invariants ⋮ A note on the Hilbert ideals of a cyclic group of prime order ⋮ The Noether Map I ⋮ The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics ⋮ On the Noether bound for noncommutative rings ⋮ Degree bounds for Hopf actions on Artin-Schelter regular algebras

Cites Work

• Invariants of finite reflection groups
• S. A. G. B. I. bases for rings of formal modular seminvariants
• On the Cohen-Macaulay property of modular invariant rings
• Homological codimension of modular rings of invariants and the Koszul complex
• Invariants of finite groups over fields of characteristic \(p\)
• Combinatorics, representation theory and invariant theory: The story of a ménage à trois.
• Computational invariant theory
• The one-hundredth anniversary of the death of invariant theory?
• Sharpening the generalized Noether bound in the invariant theory of finite groups.
• Computing bases for rings of permutation-invariant polynomials
• On Göbel's bound for invariants of permutation groups
• Noether's bound for polynomial invariants of finite groups
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• The death of a mathematical theory. A study in the sociology of knowledge
• On Noether’s bound for polynomial invariants of a finite group
• NOETHER NUMBERS FOR SUBREPRESENTATIONS OF CYCLIC GROUPS OF PRIME ORDER
• The module structure of a group action on a polynomial ring: A finiteness theorem
• Invariants of finite groups and their applications to combinatorics
• Rational Invariants of certain Orthogonal and Unitary Groups
• Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
• Non Cohen-Macaulay Vector Invariants and a Noether Bound for a Gorenstein Ring of Invariants
• Invariants of some abelian $p$-groups in characteristic $p$
• Polynomial invariants of finite groups. A survey of recent developments
• Lannes T-functor and invariants of pointwise stabilizers
• Inverse invariant theory and Steenrod operations
• Loci in quotients by finite groups, pointwise stabilizers and the Buchsbaum property
• A new degree bound for invariant rings
• On a theorem of Barbara Schmid
• The Noether Map I
• The Noether bound in invariant theory of finite groups
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