Representation theory of symmetric groups and related Hecke algebras

DOI10.1090/S0273-0979-09-01277-4zbMath1220.20008arXiv0909.4844MaRDI QIDQ3576995

Alexander S. Kleshchev

Publication date: 3 August 2010

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4844

zbMATH Keywords

Hecke algebrasrepresentations of symmetric groupsdecomposition numberscanonical basescategorificationKhovanov-Lauda-Rouquier algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (24)

On signed Young permutation modules and signed \(p\)-Kostka numbers ⋮ A matrix description for \(K_1\) of graded rings ⋮ Imaginary Schur-Weyl duality ⋮ Modular Representations, Old and New ⋮ On an analogue of the James conjecture ⋮ Unidirectional Littelmann paths for crystals of type \(A\) and rank 2 ⋮ A non-recursive criterion for weights of a highest-weight module for an affine Lie algebra ⋮ Rock blocks, wreath products and KLR algebras ⋮ Graded dimensions and monomial bases for the cyclotomic quiver Hecke superalgebras ⋮ Schurifying quasi‐hereditary algebras ⋮ DG-enhanced Hecke and KLR algebras ⋮ Nonrecursive canonical basis computations for low rank Kashiwara crystals of type \(A\) ⋮ The reducible Specht modules for the Hecke algebra \(\mathcal H_{\mathbb C,-1}(\mathfrak S_n)\). ⋮ On arbitrarily graded rings ⋮ Blocks of the Brauer category over the complex field ⋮ External vertices for crystals of affine type A ⋮ Representations of cyclotomic oriented Brauer categories ⋮ Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight. ⋮ Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words. ⋮ Relationship between Mullineux involution and the generalized regularization ⋮ On graded decomposition numbers for cyclotomic Hecke algebras in quantum characteristic 2 ⋮ Categorification of quantum Kac-Moody superalgebras ⋮ Modified affine Hecke algebras and quiver Hecke algebras of type \(A\) ⋮ Representations of weakly triangular categories

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