Searching for more general weight conjectures, using the symmetric group as an example.

DOI10.1006/jabr.1999.8127zbMath1059.20014OpenAlexW2053141211WikidataQ123155958 ScholiaQ123155958MaRDI QIDQ1972414

Harald Ellers

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8127

zbMATH Keywords

symmetric groupsnumbers of simple modules

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (6)

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

Cites Work

• Local methods in block theory
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• On the vertices of irreducible modules
• Cliques of irreducible representations of \(p\)-solvable groups and a theorem analogous to Alperin's conjecture
• Derived Equivalences As Derived Functors
• SYMMETRIC GROUP BLOCKS OF DEFECT TWO
• 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
• Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux
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