Representations of quiver Hecke algebras via Lyndon bases.

DOI10.1016/j.jpaa.2011.12.015zbMath1264.20006arXiv0912.2067OpenAlexW2087217213MaRDI QIDQ436086

J. Herrera, H. S. Yoon

Publication date: 30 July 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2067

zbMATH Keywords

simple modulesirreducible representationsLyndon wordsKhovanov-Lauda-Rouquier algebrasquiver Hecke 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 quivers and partially ordered sets (16G20)

Related Items

Imaginary Schur-Weyl duality, Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras, A quiver variety approach to root multiplicities, 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, Categorifications from planar diagrammatics, The “Runs” Theorem, Cuspidal systems for affine Khovanov-Lauda-Rouquier algebras., Knot invariants and higher representation theory, Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words., Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality

Cites Work

• Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
• Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras.
• Crystals from categorified quantum groups
• Homogeneous representations of Khovanov-Lauda algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Quantum groups and quantum shuffles
• Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
• Dual canonical bases, quantum shuffles and \(q\)-characters
• Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}
• Quiver Hecke Algebras and 2-Lie Algebras
• A diagrammatic approach to categorification of quantum groups II
• A diagrammatic approach to categorification of quantum groups I
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item