On homomorphisms indexed by semistandard tableaux.

DOI10.1007/s10468-012-9363-1zbMath1290.20003arXiv1101.3192OpenAlexW2077512298MaRDI QIDQ385532

Sinéad Lyle

Publication date: 2 December 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3192

zbMATH Keywords

Hecke algebrasSpecht moduleshomomorphismssemistandard tableauxYoung permutation modules

Mathematics Subject Classification ID

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

Related Items (5)

On homomorphisms indexed by semistandard tableaux. ⋮ The reducible Specht modules for the Hecke algebra \(\mathcal H_{\mathbb C,-1}(\mathfrak S_n)\). ⋮ An algorithm for semistandardising homomorphisms. ⋮ On homomorphisms into Weyl modules corresponding to partitions with two parts ⋮ Large-dimensional homomorphism spaces between Weyl modules and Specht modules.

Uses Software

• GAP

Cites Work

• Unnamed Item
• On homomorphisms indexed by semistandard tableaux.
• Homomorphisms between Specht modules.
• \(p\)-restriction of partitions and homomorphisms between Specht modules.
• The representation theory of the symmetric groups
• Some new decomposable Specht modules.
• The representations of Hecke algebras of type \(A_ n\)
• Cellular algebras
• An algorithm for semistandardising homomorphisms.
• Large-dimensional homomorphism spaces between Weyl modules and Specht modules.
• Row and column removal theorems for homomorphisms of Specht modules and Weyl modules.
• Representations of Hecke Algebras of General Linear Groups
• q-Tensor Space and q-Weyl Modules
• Some q-analogues of the Carter-Payne theorem

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