On a conjecture of Foulkes

DOI10.1006/jabr.1999.8169zbMath0949.05086OpenAlexW2057979593WikidataQ122927221 ScholiaQ122927221MaRDI QIDQ1975905

Johannes Siemons, Suzie C. Dent

Publication date: 29 November 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://ueaeprints.uea.ac.uk/id/eprint/20872/1/On_a_conjecture_of_Foulkes-2000.pdf

zbMATH Keywords

tableauxSpecht modulerepresentations of the symmetric grouppermutation modulesymmetric group action on partitions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (10)

Generalized Foulkes' conjecture and tableaux construction ⋮ A new order on integer partitions ⋮ Some stable plethysms ⋮ On plethysm conjectures of Stanley and Foulkes ⋮ On the decomposition of the Foulkes module. ⋮ Highest weight vectors in plethysms ⋮ Symmetrizing tableaux and the 5th case of the Foulkes conjecture ⋮ Set families and Foulkes modules ⋮ Plethysm and lattice point counting ⋮ Minimal and maximal constituents of twisted Foulkes characters

Cites Work

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• \((\mathrm{GL}_n,\mathrm{GL}_m)\)-duality and symmetric plethysm
• A note on plethysm
• The representation theory of the symmetric groups
• Stable properties of plethysm: On two conjectures of Foulkes
• Gauss maps and plethysm
• Combinatorial algorithms for the expansion of various products of Schur functions
• A problem related to Foulkes's conjecture
• Concomitants of the Quintic and Sextic Up To Degree Four in the Coefficients of the Ground Form
• Invariant theory, tensors and group characters
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring
• Combinatorics and commutative algebra

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