Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Graded decomposition numbers for cyclotomic Hecke algebras. - MaRDI portal

Graded decomposition numbers for cyclotomic Hecke algebras.

From MaRDI portal
Publication:1034080

DOI10.1016/j.aim.2009.06.018zbMath1241.20003arXiv0901.4450OpenAlexW2052506646MaRDI QIDQ1034080

Jonathan Brundan, Alexander S. Kleshchev

Publication date: 10 November 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4450




Related Items (99)

Quiver Hecke Algebras and 2-Lie AlgebrasOn quantized decomposition maps for graded algebrasOn simple modules of cyclotomic quiver Hecke algebras of type AHighest weight categories arising from Khovanov’s diagram algebra III: category 𝒪Irreducible Specht modules for Iwahori–Hecke algebras of type $B$Imaginary Schur-Weyl dualityRepresentation type of finite quiver Hecke algebras of type \(C^{(1)}_{l}\)Heisenberg algebra, wedges and crystalsDegenerate cyclotomic Hecke algebras and higher level Heisenberg categorificationThe many integral graded cellular bases of Hecke algebras of complex reflection groupsOn the generalised Dipper-James-Murphy conjecture in quantum characteristic 2An equivalence between truncations of categorified quantum groups and Heisenberg categoriesCyclotomic Carter-Payne homomorphismsFayers’ conjecture and the socles of cyclotomic Weyl modulesBlocks of symmetric groups, semicuspidal KLR algebras and zigzag Schur-Weyl dualityCyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebrasCombinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type \(A\)A non-recursive criterion for weights of a highest-weight module for an affine Lie algebraParallelotope tilings and \(q\)-decomposition numbersNilpotency in type \(A\) cyclotomic quotients.Rock blocks, wreath products and KLR algebrasPositive Jantzen sum formulas for cyclotomic Hecke algebrasOn a generalisation of the Dipper-James-Murphy conjectureQuiver Schur algebras and Koszul duality.The \(\mathfrak{sl}_N\)-web algebras and dual canonical basesDG-enhanced Hecke and KLR algebrasStrands algebras and the affine highest weight property for equivariant hypertoric categoriesRepresentation type of cyclotomic quiver Hecke algebras of type \(A_\ell^{(1)}\)Blocks of the Brauer category over the complex fieldUniversal Verma modules and the Misra-Miwa Fock spaceSimple modules for quiver Hecke algebras and the Robinson–Schensted–Knuth correspondenceSchurian‐finiteness of blocks of type A$A$ Hecke algebrasON GRADED SYMMETRIC CELLULAR ALGEBRASExternal vertices for crystals of affine type ACategorifications from planar diagrammaticsGeneralised Temperley-Lieb algebras of type \(G(r,1,n)\)Homomorphisms between standard modules over finite-type KLR algebrasChess tableaux, powers of two and affine Lie algebrasSkew cellularity of the Hecke algebras of type 𝐺(ℓ,𝑝,𝑛)Decomposable Specht modules indexed by bihooks. IIRepresentations of cyclotomic oriented Brauer categoriesModular representation theory of affine and cyclotomic Yokonuma-Hecke algebrasOn the minimal elements in conjugacy classes of the complex reflection group \(G(r,1,n)\)Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight.Restricting Specht modules of cyclotomic Hecke algebrasCrystals from categorified quantum groupsCanonical bases and affine Hecke algebras of type \(B\).\(\mathfrak{sl}_N\)-web categories and categorified skew Howe dualityThe Khovanov-Lauda 2-category and categorifications of a level two quantum \(\mathfrak{sl}_n\) representationOzsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \)Branching graphs for finite unitary groups in nondefining characteristicHeisenberg and Kac-Moody categorificationIrreducible modules over Khovanov-Lauda-Rouquier algebras of type \(A_n\) and semistandard tableaux\(\mathfrak{sl}_3\)-web bases, intermediate crystal bases and categorificationYoung walls and graded dimension formulas for finite quiver Hecke algebras of type \(A^{(2)}_{2\ell}\) and \(D^{(2)}_{\ell+1}\)Trace as an alternative decategorification functorA combinatorial categorification of the tensor product of the Kirillov-Reshetikhin crystal \(B^{1,1}\) and a fundamental crystalGraded Cartan determinants of the symmetric groupsModular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛)Triple crystal action in Fock spacesOn graded Cartan invariants of symmetric groups and Hecke algebrasCATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASESStratifying KLR algebras of affine ADE typesOn the structure of cyclotomic nilHecke algebrasQuiver Hecke algebras for alternating groupsThe \(\mathfrak{sl}_3\)-web algebraIntegral basis theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of type AOn bases of some simple modules of symmetric groups and Hecke algebrasRepresentations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.Representation theory of symmetric groups and related Hecke algebrasCategorification of highest weight modules via Khovanov-Lauda-Rouquier algebrasGRADED CARTAN MATRICES OF DEFECT 2 BLOCKS OF SYMMETRIC GROUPSCanonical bases and higher representation theoryRepresentation type for block algebras of Hecke algebras of classical typeBiadjointness in cyclotomic Khovanov-Lauda-Rouquier algebrasCategorifying the tensor product of the Kirillov-Reshetikhin crystal $B^{1,1}$ and a fundamental crystalAn LLT-type algorithm for computing higher-level canonical basesGraded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).Graded Specht modulesOn extended graphical calculus for categorified quantum \(sl(n)\)Specht modules labelled by hook bipartitions. IImplicit structure in 2-representations of quantum groupsOn the definition of Heisenberg categoryAn Interpretation of the Lascoux–Leclerc–Thibon Algorithm and Graded Representation TheoryTAME BLOCK ALGEBRAS OF HECKE ALGEBRAS OF CLASSICAL TYPE𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologiesDecomposable Specht modules indexed by bihooks2-Verma modulesBlocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.On graded decomposition numbers for cyclotomic Hecke algebras in quantum characteristic 2Factorization of the canonical bases for higher-level Fock spacesSpecht modules for quiver Hecke algebras of type \(C\)Specht modules labelled by hook bipartitions. IIAn analogue of row removal for diagrammatic Cherednik algebrasAuslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl dualityQuiver Schur algebras for linear quiversKronecker positivity and 2-modular representation theorySeminormal forms and cyclotomic quiver Hecke algebras of type \(A\).On the seminormal bases and dual seminormal bases of the cyclotomic Hecke algebras of type \(G (\ell,1,n)\)



Cites Work


This page was built for publication: Graded decomposition numbers for cyclotomic Hecke algebras.