On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝

DOI10.1090/S1088-4165-2010-00390-8zbMath1236.20009arXiv1306.1033MaRDI QIDQ3068947

Matthew Fayers

Publication date: 21 January 2011

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1033

zbMATH Keywords

symmetric groupsirreducible charactersalternating groupsirreducible representationsirreducible Specht modulesirreducible \(p\)-modular reductions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (4)

On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 ⋮ On the structure of Specht modules in the principal block of \(F\Sigma_{3p}\) ⋮ Irreducible projective representations of the alternating group which remain irreducible in characteristic 2 ⋮ The irreducible representations of the alternating group which remain irreducible in characteristic 𝑝

Cites Work

• Irreducible Specht modules for Hecke algebras of type \(A\).
• Polynomial representations of \(GL_n\)
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• On the decomposition matrices of the symmetric groups. II
• The representation theory of the symmetric groups
• Some reducible Specht modules.
• Some canonical basis vectors in the basic \(U_q(\widehat{{\mathfrak sl}_n})\)-module
• Reducible Specht modules.
• Rock blocks
• Spin Modules for Symmetric Groups
• The Irreducible Specht Modules in Characteristic 2
• A q -Analogue of the Jantzen-Schaper Theorem
• Some decomposition numbers for Hecke algebras of general linear groups
• Hook representations of the symmetric groups
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