Rosso-Yamane Theorem on PBW basis of $U_q(A

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222014Let $U_q(A_N)$ 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 $U_q(A_N)$.Rings and AlgebrasQuantum Algebra20G42, 16S15, 13P10Rosso-Yamane Theorem on PBW basis of $U_q(A_N)$text