Affine Hecke algebras and generalizations of quiver Hecke algebras of type B

DOI10.1017/S0013091519000294zbMath1481.20014arXiv1712.05592OpenAlexW4287911752MaRDI QIDQ4961144

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Publication date: 22 April 2020

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05592

zbMATH Keywords

affine Hecke algebrasKLR algebrasquiver Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (4)

Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra ⋮ DG-enhanced Hecke and KLR algebras ⋮ Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras ⋮ Morita equivalences for cyclotomic Hecke algebras of type B and D

Cites Work

• Canonical bases and affine Hecke algebras of type \(D\).
• Canonical bases and affine Hecke algebras of type \(B\).
• Morita equivalences of Ariki-Koike algebras.
• Symmetric crystals and affine Hecke algebras of type \(B\).
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On Morita equivalences between KLR algebras and VV algebras
• Cyclotomic quiver Hecke algebras and Hecke algebra of $G(r,p,n)$
• Affine Hecke Algebras and Their Graded Version
• A diagrammatic approach to categorification of quantum groups I

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