%0 Journal Article %T Rosso-Yamane Theorem on PBW basis of $U_q(A_N)$ %A Yuqun Chen %A Hongshan Shao %A K. P. Shum %J Mathematics %D 2008 %I arXiv %X Let $U_q(A_N)$ be the Drinfeld-Jimbo quantum group of type $A_N$. In this paper, by using Groebner-Shirshov bases, we give a simple (but not short) proof of the Rosso-Yamane Theorem on PBW basis of $U_q(A_N)$. %U http://arxiv.org/abs/0804.0954v1