Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
From MaRDI portal
Publication:532541
DOI10.1007/s00208-010-0543-1zbMath1267.20010arXiv0909.1984OpenAlexW1990860481MaRDI QIDQ532541
Arun Ram, Alexander S. Kleshchev
Publication date: 5 May 2011
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1984
simple modulesirreducible representationsaffine Hecke algebrasLyndon wordsKhovanov-Lauda-Rouquier algebras
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of quivers and partially ordered sets (16G20)
Related Items
Imaginary Schur-Weyl duality, Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras, Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality, MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH, On an analogue of the James conjecture, On the cohomology of quiver Grassmannians for acyclic quivers, A quiver variety approach to root multiplicities, Representations of Khovanov-Lauda-Rouquier algebras. III: Symmetric affine type, Dominance order and monoidal categorification of cluster algebras, Categorical relations between Langlands dual quantum affine algebras: exceptional cases, Tilting modules of affine quasi-hereditary algebras, Newton-Okounkov bodies for categories of modules over quiver Hecke algebras, Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra, Rational Cherednik algebras of \(G (\ell, p, n)\) from the Coulomb perspective, Representation type of finite quiver Hecke algebras of type \(A_{2\ell}^{(2)}\)., \(t\)-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras, Cluster algebra structures on module categories over quantum affine algebras, Simple modules for quiver Hecke algebras and the Robinson–Schensted–Knuth correspondence, Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras, Homomorphisms between standard modules over finite-type KLR algebras, Quantum loop groups and shuffle algebras via Lyndon words, Representations of quiver Hecke algebras via Lyndon bases., Affine PBW bases and MV polytopes in rank 2, Crystals from categorified quantum groups, Poincaré-Birkhoff-Witt bases and Khovanov-Lauda-Rouquier algebras, Monoidal categories of modules over quantum affine algebras of type A and B, Canonical basis, KLR algebras and parity sheaves, Hopf algebras and Markov chains: two examples and a theory, Homological properties of finite-type Khovanov-Lauda-Rouquier algebras., Cuspidal systems for affine Khovanov-Lauda-Rouquier algebras., Irreducible modules over Khovanov-Lauda-Rouquier algebras of type \(A_n\) and semistandard tableaux, Quantum invariants for decomposition problems in type \(A\) rings of representations, Knot invariants and higher representation theory, Stratifying KLR algebras of affine ADE types, Integral basis theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of type A, Mirkovic-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras, Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A, Implicit structure in 2-representations of quantum groups, Modified affine Hecke algebras and quiver Hecke algebras of type \(A\), Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality, Equivariant multiplicities via representations of quantum affine algebras, Equivariant multiplicities of simply-laced type flag minors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Representations of quiver Hecke algebras via Lyndon bases.
- Crystals from categorified quantum groups
- Homogeneous representations of Khovanov-Lauda algebras.
- Graded decomposition numbers for cyclotomic Hecke algebras.
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
- Combinatorics of Hall trees and Hall words
- Dual canonical bases, quantum shuffles and \(q\)-characters
- Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪
- A diagrammatic approach to categorification of quantum groups II
- Canonical bases and KLR-algebras
- A diagrammatic approach to categorification of quantum groups I
- Representation theory of symmetric groups and related Hecke algebras
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- Induced representations of reductive ${\germ p}$-adic groups. I
- Standard Lyndon Bases of Lie Algebras and Enveloping Algebras
- Introduction to quantum groups
- Minuscule elements of Weyl groups