On the decomposition of the Foulkes module.

DOI10.1007/s00013-013-0496-1zbMath1271.20007arXiv1207.6300OpenAlexW2025042910MaRDI QIDQ1945791

Eugenio Giannelli

Publication date: 9 April 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6300

zbMATH Keywords

irreducible charactersrepresentations of symmetric groupsLittlewood-Richardson rulepermutation modulescharacter multiplicitieshook partitionsFoulkes conjecture

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items (5)

Plethysms of symmetric functions and representations of \(\mathrm{SL}_2(\mathbf{C})\) ⋮ Foulkes modules and decomposition numbers of the symmetric group. ⋮ Higher Lie characters and cyclic descent extension on conjugacy classes ⋮ On permutation modules and decomposition numbers of the symmetric group. ⋮ Minimal and maximal constituents of twisted Foulkes characters

Uses Software

• Magma

Cites Work

• Unnamed Item
• Set families and Foulkes modules
• The representation theory of the symmetric groups
• Stable properties of plethysm: On two conjectures of Foulkes
• The Magma algebra system. I: The user language
• On a conjecture of Foulkes
• On plethysm conjectures of Stanley and Foulkes
• Green vertices and sources of simple modules of the symmetric group labelled by hook partitions.
• Concomitants of the Quintic and Sextic Up To Degree Four in the Coefficients of the Ground Form
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring

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