Atomic basis of quantum cluster algebra of type ${\tilde{A}}_{2n-1,1}$

Ming Ding, Fan Xu, Xueqing Chen

Let $Q$ be the affine quiver of type ${\tilde{A}}_{2n-1,1}$ and ${\mathcal{A}}_q(Q)$ be the quantum cluster algebra associated to the valued quiver $(Q,(2,2,\dots ,2))$. We prove…