2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59512We suggest a possible programme to associate geometric "flag-like" data to an arbitrary simple quantum group, in the spirit of the noncommutative algebraic geometry developed by Artin, Tate, and Van den Bergh. We then carry out this programme for the standard quantum SL(n) of Drinfel'd and Jimbo, where the varieties involved are certain T-stable subvarieties of the (ordinary) flag variety.27 pages; needs LaTeX2e, AMS-LaTeX, XY-pic, and PSTricks (v2: several minor corrections)Quantum AlgebraAlgebraic GeometryRings and AlgebrasPrimary 20G42; Secondary 14M15, 16S38, 17B37"Classical" flag varieties for quantum groups: the standard quantum SL(n,C)text