A lower bound on the vertices of Specht modules for symmetric groups.

DOI10.1007/s00013-014-0664-yzbMath1303.20006arXiv1403.1242OpenAlexW2036667147MaRDI QIDQ403027

Eugenio Giannelli

Publication date: 29 August 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1242

zbMATH Keywords

Specht modulesrepresentations of symmetric groupsverticesmodular representationshook partitions

Mathematics Subject Classification ID

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

Related Items (2)

Sylow subgroups of symmetric and alternating groups and the vertex of \(S^{(k p - p, 1^p)}\) in characteristic \(p\) ⋮ On some trivial source Specht modules

Cites Work

• Vertices of Specht modules
• Specht modules with Abelian vertices.
• On the indecomposable representations of a finite group
• Irreducible Specht modules are signed Young modules.
• On vertices of simple modules for symmetric groups of small degrees.
• Vertices of Specht modules and blocks of the symmetric group.
• The representation theory of the symmetric groups
• Two theorems on the vertices of Specht modules.
• Green vertices and sources of simple modules of the symmetric group labelled by hook partitions.
• Symmetric and Exterior Powers, Linear Source Modules and Representations of Schur Superalgebras
• The Vertices of a Class of Specht Modules and Simple Modules for Symmetric Groups in Characteristic 2
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism

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