Row and column removal theorems for homomorphisms between Specht modules.

DOI10.1016/S0022-4049(03)00099-9zbMath1061.20011OpenAlexW2095252300MaRDI QIDQ1414056

Matthew Fayers, Sinéad Lyle

Publication date: 19 November 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00099-9

zbMATH Keywords

decomposition numbershomomorphisms between Specht modules

Mathematics Subject Classification ID

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

Related Items (12)

Generalised column removal for graded homomorphisms between Specht modules ⋮ Row and column removal theorems for homomorphisms of Specht modules and Weyl modules. ⋮ On central idempotents in the Brauer algebra ⋮ An algorithm for semistandardising homomorphisms. ⋮ On homomorphisms into Weyl modules corresponding to partitions with two parts ⋮ Reducible Specht modules. ⋮ Irreducible Specht modules for Hecke algebras of type \(A\). ⋮ HOMOMORPHISMS AND HIGHER EXTENSIONS FOR SCHUR ALGEBRAS AND SYMMETRIC GROUPS ⋮ Homomorphisms between Weyl modules for $\operatorname {SL}_3(k)$ ⋮ The integral isomorphism behind row removal phenomena for schur algebras ⋮ An analogue of row removal for diagrammatic Cherednik algebras ⋮ On self-extensions of irreducible modules over symmetric groups

Cites Work

• On the decomposition matrices of the symmetric groups. III
• On the modular representations of the general linear and symmetric groups
• The representation theory of the symmetric groups
• A note on decomposition numbers for general linear groups and symmetric groups

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