On decomposability of some Specht modules for symmetric groups

DOI10.1016/0021-8693(80)90117-9zbMath0447.20009OpenAlexW2072856721MaRDI QIDQ1146253

Gwendolen Murphy

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90117-9

zbMATH Keywords

Specht moduleshook partitionsirreducible modules for the symmetric groupp-singular partitions

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Related Items (19)

Representations of finite groups ⋮ On some trivial source Specht modules ⋮ Decomposable Specht modules for the Iwahori-Hecke algebra \(\mathcal H_{\mathbb F,-1}(\mathfrak S_n)\). ⋮ Decomposable Specht modules indexed by bihooks. II ⋮ Specht modules for partitions \((k,3,3)\) have no one-dimensional summand ⋮ Submodule structure of some Specht modules ⋮ Large dimension homomorphism spaces between Specht modules for symmetric groups. ⋮ Specht modules with Abelian vertices. ⋮ Some new decomposable Specht modules. ⋮ Vertices of Specht modules and blocks of the symmetric group. ⋮ Problem of modular representations of symmetric groups ⋮ Vertices of Specht modules ⋮ The multistep homology of the simplex and representations of symmetric groups ⋮ On the classification of Specht modules with one-dimensional summands ⋮ Decompositions of some Specht modules. I. ⋮ The image of the Specht module under the inverse Schur functor in arbitrary characteristic ⋮ Decomposable Specht modules indexed by bihooks ⋮ Some Results for Decomposition Numbers for the Hecke Algebra of Type A withq = −1 ⋮ Kronecker positivity and 2-modular representation theory

Cites Work

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• On the representation theory of the symmetric groups
• Specht modules and symmetric groups
• Some counterexamples in the theory of Specht modules
• On the second natural representation of the symmetric groups
• Hook representations of the symmetric groups

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