Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A

Abstract

This paper constructs an explicit homogeneous cellular basis for the cyclotomic Khovanov--Lauda--Rouquier algebras of type $A$.

43 pages

References in corpus (5)

• A diagrammatic approach to categorification of quantum groups I
• 2-Kac-Moody algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Blocks of cyclotomic Hecke algebras
• Highest weight categories arising from Khovanov's diagram algebra III: category O

Cited by in corpus (11)

• Quiver Schur algebras and q-Fock space
• The ${\mathfrak{sl}}_n$ foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
• Affine Cellularity of Khovanov-Lauda-Rouquier algebras in type A
• Highest weight categories arising from Khovanov's diagram algebra III: category O
• Graded decomposition numbers for the blob algebra
• On the structure of cyclotomic nilHecke algebras
• p-DG cyclotomic nilHecke algebras
• Graded induction for Specht modules
• Knot Categorification from Mirror Symmetry, Part II: Lagrangians
• Representation Theory of Symmetric Groups and Related Hecke Algebras
• Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type A