Composition factors of Specht modules for Hecke algebras of type \(A_n\).

DOI10.1016/J.JALGEBRA.2006.05.011zbMath1104.20003OpenAlexW2006024582MaRDI QIDQ855996

Eugene Murphy

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.05.011

zbMATH Keywords

Hecke algebrasSpecht modulesGram matricescomposition factorsstandard tableauxdecomposition matricessymmetric group algebrasJantzen-Schaper filtrations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (1)

Seminormal forms and Gram determinants for cellular algebras

Cites Work

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• The determinant of the Gram matrix for a Specht module
• The idempotents of the symmetric group and Nakayama's conjecture
• On the representation theory of the symmetric groups
• A new construction of Young's seminormal representation of the symmetric groups
• On the decomposition matrices of the symmetric groups. III
• On the representation theory of the symmetric groups and associated Hecke algebras
• On the decomposition matrices of the symmetric groups. I
• On the decomposition matrices of the symmetric groups. II
• The representation theory of the symmetric groups
• The representations of Hecke algebras of type \(A_ n\)
• A note on decomposition numbers for general linear groups and symmetric groups
• Representations of Hecke Algebras of General Linear Groups
• Elementary Divisors of Gram Matrices of Certain Specht Modules
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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