Elementary Divisors of Gram Matrices of Certain Specht Modules

DOI10.1081/AGB-120022231zbMath1062.20012arXivmath/0203129MaRDI QIDQ4414334

Gabriele Nebe, Matthias Künzer

Publication date: 24 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0203129

zbMATH Keywords

partitionsSpecht modulessymmetric groupscomposition factorsJantzen filtrationselementary divisors of Gram matricesmodular branching ruleSchaper formula

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (4)

Composition factors of Specht modules for Hecke algebras of type \(A_n\). ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Carter–Payne homomorphisms and branching rules for endomorphism rings of Specht modules ⋮ Elementary divisors of Specht modules.

Cites Work

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• The determinant of the Gram matrix for a Specht module
• On the decomposition matrices of the symmetric groups. III
• On the decomposition matrices of the symmetric groups. II
• Decomposition numbers of symmetric groups by induction
• On the dimension of some modular irreducible representations of the symmetric group
• On homomorphisms between Weyl modules and Specht modules
• Branching rules for modular representations of symmetric groups, II.
• ON THE STRUCTURE OF SPECHT MODULES
• The 2-modular decomposition matrices of the symmetric groupsS₁₅S₁₆, andS₁₇
• Hook representations of the symmetric groups
• On the number of solutions of simultaneous Pell equations

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