"Classical" flag varieties for quantum groups: the standard quantum SL(n,C)
Quantum Algebra
2007-05-23 v2 Algebraic Geometry
Rings and Algebras
Abstract
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.
Keywords
Cite
@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}
}
Comments
27 pages; needs LaTeX2e, AMS-LaTeX, XY-pic, and PSTricks (v2: several minor corrections)