Affine cellularity of BLN algebras

DOI10.1016/j.jalgebra.2015.06.031zbMath1378.17024arXiv1406.3517OpenAlexW1888053412MaRDI QIDQ493776

Weideng Cui

Publication date: 4 September 2015

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

Full work available at URL: https://arxiv.org/abs/1406.3517

zbMATH Keywords

affine \(q\)-Schur algebrasaffine cellular algebrasBLN algebrasextremal weight modulesmodified quantum affine algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Schur and (q)-Schur algebras (20G43)

Related Items (6)

Affine quasi-heredity of affine Schur algebras ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ Affine cellularity of quantum affine algebras: an appendix to ``Affine cellularity of BLN-algebras by Weideng Cui ⋮ Ring theoretical properties of affine cellular algebras ⋮ Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types ⋮ Affine cellularity of affine 𝑞-Schur algebras

Cites Work

• Affine cellularity of affine Hecke algebras of rank two.
• Affine cellular algebras.
• Crystal bases and two-sided cells of quantum affine algebras
• Crystal bases of modified quantized enveloping algebra
• Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\)
• On level-zero representation of quantized affine algebras.
• Cellular algebras
• Generalized \(q\)-Schur algebras and quantum Frobenius
• Affine cellularity of affine 𝑞-Schur algebras
• Affine Cellularity of Khovanov–Lauda–Rouquier Algebras of Finite Types
• Presenting generalized 𝑞-Schur algebras
• Affine highest weight categories and affine quasihereditary algebras
• Introduction to quantum groups
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