Integral Basis Theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of Type A

Ge Li

In this paper we prove that the cyclotomic Khovanov-Lauda-Rouquier algebras in type A, ${\mathcal{R}}_n^{\Lambda }$, are $\mathbb{Z}$-free. We then extend the graded cellular basis of $\mathsc…