2000/07/31 by Christian Ohn
Mathematics · #math.QA #math.AG #math.RA #msc:20G42 #msc:14M15 #msc:16S38 #msc:17B37
published as Advances in Math. 171 (2002) 103-138 · 27 pages; needs LaTeX2e, AMS-LaTeX, XY-pic, and PSTricks (v2: several minor corrections)
arxiv created 2001/01/15 · arxiv updated 2009/11/30
We 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.