A basis for the \(Y^ 1\) subspace of diagonal harmonic polynomials.

DOI10.1016/S0012-365X(98)00131-9zbMath1061.05502MaRDI QIDQ1584462

Joseph Alfano

Publication date: 2 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

diagonal harmonicsParking function conjecture

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Ordinary representations and characters (20C15)

Related Items (2)

Tanisaki witness relations for harmonic differential forms ⋮ Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds

Cites Work

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• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Apolarity and canonical forms for homogeneous polynomials
• Conjectures on the quotient ring by diagonal invariants
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• A graded representation model for Macdonald's polynomials.
• Differential Equations Invariant Under Finite Reflection Groups
• A new class of symmetric functions

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