Block theory, branching rules, and centralizer algebras.

DOI10.1016/j.jalgebra.2003.12.029zbMath1131.20301OpenAlexW1990534816MaRDI QIDQ1883058

Harald Ellers, John C. Murray

Publication date: 1 October 2004

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

Full work available at URL: http://eprints.maynoothuniversity.ie/10109/1/JM-Block-2004.pdf

zbMATH Keywords

indecomposable direct summandsdefect groupsblocksblock idempotentscentralizer algebrasverticesAlperin weight conjecturefinite symmetric groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (4)

Modular centralizer algebras corresponding to \(p\)-groups. ⋮ The centralizer of a subgroup in a group algebra ⋮ Centralizer Algebras and Degenerate Affine Hecke Algebras ⋮ Specht Modules and Simple Modules for Centralizer Algebras of the Symmetric Group

Cites Work

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• Local methods in block theory
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• Lower defect groups in symmetric groups
• On the Brauer correspondence
• On p-quotients for spin characters
• Cliques of irreducible representations of \(p\)-solvable groups and a theorem analogous to Alperin's conjecture
• Searching for more general weight conjectures, using the symmetric group as an example.
• SQUARES IN THE CENTRE OF THE GROUP ALGEBRA OF A SYMMETRIC GROUP
• The defect groups of a clique, p-solvable groups, and Alperin's conjecture.
• Cliques of Irreducible Representations, Quotient Groups, and Brauer's Theorems on Blocks

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