A Specht Filtration of Permutation Modules Over KLR Algebras

2025/06/18 by Tao Qin, Qin, Tao
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2506.15133

Abstract

In type A, Kleshchev-Ram-Mathas realize Specht modules as quotient of Permutation modules, in this paper, we construct a Specht filtration of Permutation modules indexed by hook partition in affine type A; and construct a generalized Specht filtration of Permutation modules indexed by any partition in linear quiver case.

Citations

• A skew Specht perspective of RoCK blocks and cuspidal systems for KLR algebras in affine type A
• Homomorphisms into Specht modules labelled by hooks in quantum characteristic two
• Cellularity and subdivision of KLR and weighted KLRW algebras
• Cuspidal ribbon tableaux in affine type A
• The many graded cellular bases of Hecke algebras
• Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A
• Homomorphisms from an arbitrary Specht module to one corresponding to a hook
• Representations of Khovanov-Lauda-Rouquier algebras III: Symmetric Affine Type
• Imaginary Schur-Weyl duality
• Representation type of finite quiver Hecke algebras of type A⁽¹⁾_ℓ for arbitrary parameters
• Cuspidal systems for affine Khovanov-Lauda-Rouquier algebras
• Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A

Related

• Restricting Specht modules of cyclotomic Hecke algebras
• Homomorphisms from an arbitrary Specht module to one corresponding to a hook
• Permutation resolutions for Specht modules of Hecke algebras
• On the Submodule Structure of Hook Specht Modules in Characteristic 2
• Graded induction for Specht modules