Decomposition numbers of symmetric groups by induction

DOI10.1006/jabr.1999.8248zbMath0961.20013OpenAlexW2042828960MaRDI QIDQ1570870

Adrian Williams, Gordon D. James

Publication date: 28 May 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8248

zbMATH Keywords

Specht modulessymmetric groups\(p\)-regular partitionsdecomposition multiplicities\(p\)-modular decomposition numbers

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Related Items (9)

On low-degree representations of the symmetric group ⋮ A new parametrisation of tilting modules for \(\text{GL}(3,k)\) over characteristic 2. ⋮ The tilting tensor product theorem and decomposition numbers for symmetric groups. ⋮ Irreducible tensor products for alternating groups in characteristics 2 and 3 ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Elementary Divisors of Gram Matrices of Certain Specht Modules ⋮ The trivial intersection problem for characters of principal indecomposable modules. ⋮ Irreducible tensor products for alternating groups in characteristic \(5\) ⋮ Symmetric Group Decomposition Numbers for Some Three-Part Partitions

Cites Work

• On the decomposition matrices of the symmetric groups. III
• Representations of the symmetric groups over the field of order 2
• On the decomposition matrices of the symmetric groups. I
• The representation theory of the symmetric groups
• Decomposition numbers for symmetric groups and composition factors of Weyl modules
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