Some reducible Specht modules.

DOI10.1016/S0021-8693(03)00537-4zbMath1052.20010MaRDI QIDQ1414674

Sinéad Lyle

Publication date: 4 December 2003

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

zbMATH Keywords

symmetric groupsdecomposition matricesreducibility of Specht modules

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Related Items

Rouquier blocks. ⋮ Irreducible Specht modules for Iwahori–Hecke algebras of type $B$ ⋮ On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 ⋮ Foulkes modules and decomposition numbers of the symmetric group. ⋮ The reducible Specht modules for the Hecke algebra \(\mathcal H_{\mathbb C,-1}(\mathfrak S_n)\). ⋮ Signed Young modules and simple Specht modules ⋮ On the irreducible Specht modules for Iwahori-Hecke algebras of type \(A\) with \(q=-1\). ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Irreducible projective representations of the alternating group which remain irreducible in characteristic 2 ⋮ Some q-analogues of the Carter-Payne theorem ⋮ Reducible Specht modules. ⋮ Irreducible Specht modules for Hecke algebras of type \(A\). ⋮ The irreducible representations of the alternating group which remain irreducible in characteristic 𝑝 ⋮ On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝 ⋮ Some reducible Specht modules for Iwahori-Hecke algebras of type \(A\) with \(q=-1\).

Cites Work

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• The determinant of the Gram matrix for a Specht module
• On the decomposition matrices of the symmetric groups. II
• On homomorphisms between Weyl modules and Specht modules
• Some combinatorial results involving Young diagrams
• On a conjecture of Carter concerning irreducible Specht modules
• The Irreducible Specht Modules in Characteristic 2