"Classical" flag varieties for quantum groups: the standard quantum SL(n,C)
量子代数
2007-05-23 v2 代数几何
环与代数
摘要
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.
引用
@article{arxiv.math/0007005,
title = {"Classical" flag varieties for quantum groups: the standard quantum SL(n,C)},
author = {Christian Ohn},
journal= {arXiv preprint arXiv:math/0007005},
year = {2007}
}
备注
27 pages; needs LaTeX2e, AMS-LaTeX, XY-pic, and PSTricks (v2: several minor corrections)