Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of   Type A
  In this paper we prove that the cyclotomic Khovanov-Lauda-Rouquier algebras in type A, $\mathscr R_n^\Lambda$, are $\mathbb{Z}$-free. We then extend the graded cellular basis of $\mathscr R_n^\Lambda$ constructed by Hu and Mathas to $\mathscr R_n$ and use this basis to give a classification of all irreducible $\mathscr R_n$-modules. 
Ge Li
math.RT