Stratifying KLR algebras of affine ADE types

DOI10.1016/j.jalgebra.2016.07.006zbMath1437.17006arXiv1511.05511OpenAlexW2964260502MaRDI QIDQ514199

Robert Muth, Alexander S. Kleshchev

Publication date: 28 February 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05511

zbMATH Keywords

KLR algebrassemicuspidal representations of KLR algebrasstratified algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Schur and (q)-Schur algebras (20G43) Root systems (17B22)

Related Items (9)

Blocks of symmetric groups, semicuspidal KLR algebras and zigzag Schur-Weyl duality ⋮ Cuspidal ribbon tableaux in affine type A ⋮ Categorification and applications ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Decomposable Specht modules indexed by bihooks. II ⋮ Localizations for quiver Hecke algebras II ⋮ Affine zigzag algebras and imaginary strata for KLR algebras ⋮ Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A ⋮ Coherent categorification of quantum loop algebras: the \(\operatorname{SL}(2)\) case

Cites Work

• Unnamed Item
• Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
• Crystals from categorified quantum groups
• Finite dimensional representations of Khovanov-Lauda-Rouquier algebras. I: Finite type
• Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).
• Graded decomposition numbers for cyclotomic Hecke algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• Representations of Khovanov-Lauda-Rouquier algebras. III: Symmetric affine type
• Poincaré-Birkhoff-Witt bases and Khovanov-Lauda-Rouquier algebras
• Homological properties of finite-type Khovanov-Lauda-Rouquier algebras.
• Cuspidal systems for affine Khovanov-Lauda-Rouquier algebras.
• Vertices and sources
• Quantum linear groups and representations of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
• REPRESENTATION THEORY AND COHOMOLOGY OF KHOVANOV–LAUDA–ROUQUIER ALGEBRAS
• Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data
• Construction of Irreducible Representations over Khovanov–Lauda–Rouquier Algebras of Finite Classical Type
• Quiver Hecke Algebras and 2-Lie Algebras
• Canonical bases and KLR-algebras
• A diagrammatic approach to categorification of quantum groups I
• Affine zigzag algebras and imaginary strata for KLR algebras
• Graded Specht modules
• Affine highest weight categories and affine quasihereditary algebras
• Imaginary Schur-Weyl duality
• Mirkovic-Vilonen polytopes and Khovanov-Lauda-Rouquier algebras
• Homomorphisms between standard modules over finite-type KLR algebras
• Stratifying endomorphism algebras
• A category for the adjoint representation

This page was built for publication: Stratifying KLR algebras of affine ADE types