## 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.

: Primary 20C08; secondary 20C30.

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 Monday, August 17, 2009