Generalized exponents and forms.

DOI10.1007/s10801-005-6908-yzbMath1086.20021OpenAlexW2046303284MaRDI QIDQ1781815

Anne V. Shepler

Publication date: 8 June 2005

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-005-6908-y

zbMATH Keywords

Coxeter groupsderivationsinvariant theoryreflection groupshyperplane arrangementsgeneralized exponentsfake degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Geometric invariant theory (14L24) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Actions of groups on commutative rings; invariant theory (13A50) Reflection groups, reflection geometries (51F15)

Cites Work

• On the eigenvalues of representations of reflection groups and wreath products
• Unitary reflection groups and cohomology
• Relative invariants of finite groups generated by pseudoreflections
• Higher Specht polynomials for the complex reflection group \(G(r,p,n)\)
• Towards spetses. I
• Higher Specht polynomials
• Invariant theory and eigenspaces for unitary reflection groups.
• The sign representation for Shephard groups.
• Semi-invariants of finite reflection groups
• The Jacobians and the discriminants of finite reflection groups
• Regular elements of finite reflection groups
• Invariants of Finite Reflection Groups
• Reflection Subquotients of Unitary Reflection Groups
• Invariants of Euclidean Reflection Groups
• Differential Equations Invariant Under Finite Reflection Groups
• Invariants of Finite Reflection Groups
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections
• Reflection groups and invariant theory
• Zariski theorems and diagrams for braid groups.
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