Modular irreducible representations of the symmetric group as linear codes.

DOI10.1016/j.ejc.2003.10.009zbMath1065.20015OpenAlexW2008180982MaRDI QIDQ1888298

Axel Kohnert, Adalbert Kerber

Publication date: 23 November 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.10.009

zbMATH Keywords

symmetric groupscomputational methodsstandard Young tableauxregular partitionsletter place algebrasmodular irreducible matrix representationssymmetrized Specht polynomials

Mathematics Subject Classification ID

Uses Software

• SYMMETRICA

Cites Work

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• Multivariate polynomials, standard tableaux, and representations of symmetric groups
• Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. I
• Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. II
• SYMMETRICA, an object oriented computer-algebra system for the symmetric group
• Invariant theory, Young bitableaux, and combinatorics
• Combinatorial \(S_ n\)-modules as codes
• On Two Doubly Even Self-Dual Binary Codes of Length<tex>$160$</tex>and Minimum Weight<tex>$24$</tex>
• The Irreducible Representations of the Symmetric Groups
• Representations of finite groups.

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