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

Jun Hu and Andrew Mathas

Abstract

This paper constructs an explicit homogeneous cellular basis for the cyclotomic Khovanov–Lauda–Rouquier algebras of type A over a field.

Keywords: Cyclotomic Hecke algebras, Khovanov–Lauda–Rouquier algebras, cellular algebras.

AMS Subject Classification: Primary 20C08; secondary 20C30.