Modular Schur Functions

DOI10.2307/2154861zbMath0813.05068OpenAlexW4242067115MaRDI QIDQ4321209

Grant Walker

Publication date: 28 May 1995

Full work available at URL: https://doi.org/10.2307/2154861

zbMATH Keywords

irreducible characterssymmetric functionsLittlewood-Richardson ruleSchur functionYoung diagramsmodular representationSpecht modulelinear groupregular partitionsJacobi-Trudi formulaCarter's criterionmodular Schur functionstruncated symmetric power

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (10)

On signed multiplicities of Schur expansions surrounding Petrie symmetric functions ⋮ Cohomology of line bundles on the incidence correspondence ⋮ Truncated symmetric powers and modular representations of GL_n ⋮ Generators for the centre of the group algebra of a symmetric group. ⋮ Horizontal partitions and Kleshchev's algorithm ⋮ Relationship between Mullineux involution and the generalized regularization ⋮ On the decomposition map for symmetric groups. ⋮ Combinatorial wall-crossing and the Mullineux involution ⋮ Petrie symmetric functions ⋮ Linking first occurrence polynomials over \( \mathbb F_p\) by Steenrod operations

Cites Work

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• Cartan matrices and Morita equivalence for blocks of the symmetric groups
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• Modular symmetric functions and irreducible modular representations of general linear groups
• Schur and weyl functors, II
• On a conjecture of Carter concerning irreducible Specht modules
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On the p -Cores of p -Regular Diagrams
• Modular representations of symmetric groups

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