Graded Specht modules

Abstract

Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l,1,d). In this paper we explain how to grade Specht modules over these algebras.

23 pages; v3: typos fixed.

References in corpus (4)

• A diagrammatic approach to categorification of quantum groups I
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• Highest weight categories arising from Khovanov's diagram algebra III: category O

Cited by in corpus (41)

• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• Crystals from categorified quantum groups
• Quiver Schur algebras and q-Fock space
• Categorifications from planar diagrammatics
• Highest weight categories arising from Khovanov's diagram algebra III: category O
• Graded $q$-Schur algebras
• Categorification of quantum Kac-Moody superalgebras
• The many graded cellular bases of Hecke algebras
• Generalised column removal for graded homomorphisms between Specht modules
• Oddification of the cohomology of type A Springer varieties
• Specht modules for quiver Hecke algebras of type $C$
• Graded decomposition numbers for the blob algebra
• Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of Type A
• ${\mathfrak{gl}}_n$-webs, categorification and Khovanov-Rozansky homologies
• Decomposable Specht modules for the Iwahori-Hecke algebra ${\mathcal{H}}_{\mathbb{F},-1}({\mathfrak{S}}_n)$
• Seminormal forms and cyclotomic quiver Hecke algebras of type $A$
• On the structure of cyclotomic nilHecke algebras
• p-DG cyclotomic nilHecke algebras
• On graded decomposition numbers for cyclotomic Hecke algebras in quantum characteristic 2
• Representation type of finite quiver Hecke algebras of type $A_{2\ell }^{(2)}$
• Skew cellularity of the Hecke algebras of type $G(\ell ,p,n)$
• On the semisimplicity of the cyclotomic quiver Hecke algebra of type C
• Homomorphisms between standard modules over finite type KLR algebras
• Content systems and deformations of cyclotomic KLR algebras of type $A$ and $C$
• Blob algebra and two-color Soergel calculus
• p-DG cyclotomic nilHecke algebras II
• Specht modules labelled by hook bipartitions I
• A semisimple series for $q$-Weyl and $q$-Specht modules
• Path combinatorics and light leaves for quiver Hecke algebras
• Decomposable Specht modules indexed by bihooks
• Fayers' conjecture and the socles of cyclotomic Weyl modules
• Cyclotomic Carter-Payne homomorphisms
• A skew Specht perspective of RoCK blocks and cuspidal systems for KLR algebras in affine type A
• Graded cellular bases for Temperley-Lieb algebras of type A and B
• An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory
• Notes on graded symmetric cellular algebras
• Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight
• Representation Theory of Symmetric Groups and Related Hecke Algebras
• sl_2-actions along short strings for spin blocks
• Decomposable Specht modules indexed by bihooks II