A bijection for the Alperin weight conjecture in \(S_n\).

DOI10.1007/S10468-009-9194-XzbMath1233.20014OpenAlexW2036059450MaRDI QIDQ656936

James P. Cossey

Publication date: 13 January 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9194-x

zbMATH Keywords

partitionsweightsSpecht modulessymmetric groupsrepresentationsnumbers of irreducible Brauer charactersAlperin weight conjecture

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (3)

Alperin weight conjecture and related developments ⋮ The Alperin weight conjecture for symmetric and general linear groups revisited ⋮ Completion of a bijective proof of the Alperin weight conjecture for \(S_n\) when \(p=2\).

Cites Work

• Unnamed Item
• Irreducible Specht modules for Hecke algebras of type \(A\).
• Weights for symmetric and general linear groups
• The Isaacs-Navarro conjecture for symmetric groups.
• Weights and vertices for characters of \(\pi\)-separable groups

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