Affine Cellularity of Khovanov–Lauda–Rouquier Algebras of Finite Types

DOI10.1093/imrn/rnu096zbMath1334.16013arXiv1310.4467OpenAlexW2964340159MaRDI QIDQ3454236

Joseph W. Loubert, Alexander S. Kleshchev

Publication date: 24 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4467

zbMATH Keywords

graded algebrasKhovanov-Lauda-Rouquier algebrasaffine cellular algebrasaffine cell ideals

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Representations of orders, lattices, algebras over commutative rings (16G30) Homological dimension in associative algebras (16E10)

Related Items (10)

Some extension algebras for standard modules over KLR algebras of type \(A\) ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ Homomorphisms between standard modules over finite-type KLR algebras ⋮ Cellularity for weighted KLRW algebras of types B$B$, A(2)$A^{(2)}$, D(2)$D^{(2)}$ ⋮ Affine cellularity of BLN algebras ⋮ Ring theoretical properties of affine cellular algebras ⋮ Affine cellularity of affine 𝑞-Schur algebras ⋮ Resolutions of standard modules over KLR algebras of type A ⋮ Specht modules for quiver Hecke algebras of type \(C\)

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