Carter-Payne homomorphisms and Jantzen filtrations.

DOI10.1007/s10801-010-0222-zzbMath1219.20005arXiv0912.2038OpenAlexW1967005573MaRDI QIDQ604827

Sinéad Lyle, Andrew Mathas

Publication date: 12 November 2010

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2038

zbMATH Keywords

Hecke algebrasYoung diagramsIwahori-Hecke algebrasJucys-Murphy elementsJantzen filtrationsCarter-Payne homomorphismsCarter-Payne theoremhomomorphisms between Specht modulesMurphy bases

Mathematics Subject Classification ID

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

Related Items (3)

The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ Cyclotomic Carter-Payne homomorphisms ⋮ Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis

Cites Work

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• Good \(l\)-filtrations for \(q\)-\(\mathrm{GL}_3(k)\)
• Branching rules for Specht modules.
• A new construction of Young's seminormal representation of the symmetric groups
• On the modular representations of the general linear and symmetric groups
• The representation theory of the symmetric groups
• The representations of Hecke algebras of type \(A_ n\)
• Row and column removal theorems for homomorphisms of Specht modules and Weyl modules.
• Carter–Payne homomorphisms and branching rules for endomorphism rings of Specht modules
• Representations of Hecke Algebras of General Linear Groups
• On homomorphisms between Weyl modules and Specht modules

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