Resolutions of standard modules over KLR algebras of type A

DOI10.1112/jlms.12400OpenAlexW3109325554MaRDI QIDQ4994491

David J. Steinberg, Doeke Buursma, Alexander S. Kleshchev

Publication date: 18 June 2021

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

Full work available at URL: https://arxiv.org/abs/1906.11376

zbMATH Keywords

KLR algebrasKostant partitions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Syzygies, resolutions, complexes in associative algebras (16E05) Representation theory of associative rings and algebras (16G99)

Related Items (2)

Some extension algebras for standard modules over KLR algebras of type \(A\) ⋮ Strands algebras and the affine highest weight property for equivariant hypertoric categories

Cites Work

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• Some extension algebras for standard modules over KLR algebras of type \(A\)
• Poincaré-Birkhoff-Witt bases and Khovanov-Lauda-Rouquier algebras
• Homological properties of finite-type Khovanov-Lauda-Rouquier algebras.
• Affine Cellularity of Khovanov–Lauda–Rouquier Algebras of Finite Types
• A diagrammatic approach to categorification of quantum groups I
• Representations of Hecke Algebras of General Linear Groups
• Affine highest weight categories and affine quasihereditary algebras
• Homomorphisms between standard modules over finite-type KLR algebras
• Extended graphical calculus for categorified quantum sl(2)

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