On the representation theory of the symmetric groups and associated Hecke algebras

DOI10.1016/0021-8693(92)90045-NzbMath0794.20020OpenAlexW2089190037MaRDI QIDQ1204395

G. E. Murphy

Publication date: 28 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90045-n

zbMATH Keywords

group algebrasSpecht modulessymmetric groupprimitive idempotentsHecke algebrafinite general linear groupsdimension of irreducible representationsseminormal basis

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

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Cites Work

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• The idempotents of the symmetric group and Nakayama's conjecture
• On the representation theory of the symmetric groups
• A new construction of Young's seminormal representation of the symmetric groups
• Specht modules and symmetric groups
• The representation theory of the symmetric groups
• Symmetric polynomials and the center of the symmetric group ring
• Longest Increasing and Decreasing Subsequences
• Representations of Hecke Algebras of General Linear Groups
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• On the Representations of the Symmetric Group: (Third Paper)