On the decomposition matrices of the symmetric groups. III

DOI10.1016/0021-8693(81)90108-3zbMath0465.20010OpenAlexW4210378011MaRDI QIDQ1154537

Gordon D. James

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90108-3

zbMATH Keywords

Weyl modulesSchur algebraSpecht modulemodule for the symmetric group

Mathematics Subject Classification ID

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

Related Items (32)

Symmetric group blocks of small defect. ⋮ On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type ⋮ On low-degree representations of the symmetric group ⋮ Ext spaces for general linear and symmetric groups ⋮ Fixed-point functors for symmetric groups and Schur algebras. ⋮ On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ Composition factors of Specht modules for Hecke algebras of type \(A_n\). ⋮ Row and column removal theorems for homomorphisms of Specht modules and Weyl modules. ⋮ Generic singularities of nilpotent orbit closures ⋮ A row removal theorem for the Ext¹ quiver of symmetric groups and Schur algebras ⋮ A note on decomposition numbers for general linear groups and symmetric groups ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ Some examples of simple generic 𝐹𝐼-modules in positive characteristic ⋮ The heights of irreducible Brauer characters in 2-blocks of the symmetric groups. ⋮ Row and column removal theorems for homomorphisms between Specht modules. ⋮ Cartan matrices and Morita equivalence for blocks of the symmetric groups ⋮ Schur Algebras of Classical Groups II ⋮ On the minimal dimensions of irreducible representations of symmetric groups ⋮ Elementary Divisors of Gram Matrices of Certain Specht Modules ⋮ Invariants of Specht modules. ⋮ Symmetric Group Decomposition Numbers for Some Three-Part Partitions ⋮ Brauer algebras with parameter \(n=2\) acting on tensor space. ⋮ The integral isomorphism behind row removal phenomena for schur algebras ⋮ Defect \(3\) blocks of symmetric group algebras ⋮ Decomposition numbers of symmetric groups by induction ⋮ A note on decomposition numbers for reductive algebraic groups ⋮ An analogue of row removal for diagrammatic Cherednik algebras ⋮ Endomorphism algebras of 2-row permutation modules in characteristic 3 ⋮ Schur subalgebras. II ⋮ On the stabilization problem for submodules of Specht modules ⋮ On self-extensions of irreducible modules over symmetric groups ⋮ Row and column removal in the \(q\)-deformed Fock space.

Cites Work

• Polynomial representations of \(GL_n\)

This page was built for publication: On the decomposition matrices of the symmetric groups. III