Symmetrizing tableaux and the 5th case of the Foulkes conjecture

DOI10.1016/j.jsc.2016.09.002zbMath1486.20063arXiv1509.03944OpenAlexW2963348242WikidataQ123298992 ScholiaQ123298992MaRDI QIDQ1711999

Christian Ikenmeyer, Sevak Mkrtchyan, Man-Wai Mandy Cheung

Publication date: 21 January 2019

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03944

zbMATH Keywords

plethysmChow varietyFoulkes conjecturerepresentation theory of the symmetric groupFoulkes-Howe conjecture

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Computational methods for problems pertaining to group theory (20-08)

Related Items (9)

Modular plethystic isomorphisms for two-dimensional linear groups ⋮ On some modules supported in the Chow variety ⋮ Equations for GL invariant families of polynomials ⋮ Plethysms of symmetric functions and representations of \(\mathrm{SL}_2(\mathbf{C})\) ⋮ A new order on integer partitions ⋮ A non-iterative formula for straightening fillings of Young diagrams ⋮ On Geometric Complexity Theory: Multiplicity Obstructions Are Stronger Than Occurrence Obstructions ⋮ A \(q\)-analog of Foulkes' conjecture ⋮ Unnamed Item

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• A study of the representations supported by the orbit closure of the determinant
• Some Computations Regarding Foulkes' Conjecture
• 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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