Let Uq(AN) be the Drinfeld-Jimbo quantum group of type AN. In this paper, by using Gr¨obner-Shirshov bases, we give a simple (but not short) proof of the Rosso-Yamane Theorem on PBW basis of Uq(AN).
@article{1509, title = {Rosso-Yamane Theorem on PBW Basis of U[?](An)}, journal = {CUBO, A Mathematical Journal}, volume = {10}, year = {2008}, language = {en}, url = {http://dml.mathdoc.fr/item/1509} }
Chen, Yuqun; Shao, Hongshan; Shum, K.P. Rosso-Yamane Theorem on PBW Basis of 𝑈ԛ(𝐴ɴ). CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1509/