Higher Specht polynomials for the symmetric group

DOI10.3792/pjaa.69.41zbMath0811.20011OpenAlexW2042686188MaRDI QIDQ1312064

Tomohide Terasoma, Hiro-Fumi Yamada

Publication date: 23 April 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.41

zbMATH Keywords

Schur functionsbasesYoung diagramscombinatorial algorithmirreducible componentsstandard Young tableauxregular \(S_ n\) module

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items

Lefschetz Property, Schur–Weyl Duality and aq-Deformation of Specht polynomial ⋮ Zero-dimensional Gorenstein algebras with the action of the symmetric group ⋮ Higher Specht bases for generalizations of the coinvariant ring ⋮ Effective Invariant Theory of Permutation Groups Using Representation Theory ⋮ Algorithms for fundamental invariants and equivariants of finite groups ⋮ Specht polynomials and modules over the Weyl algebra II ⋮ Descent representations and multivariate statistics ⋮ Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations ⋮ Specht polynomials and modules over the Weyl algebra

Cites Work

• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Specht modules and symmetric groups
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