✦ LIBER ✦
“Classical” Flag Varieties for Quantum Groups: The Standard Quantum SL(n,C)
✍ Scribed by Christian Ohn
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 357 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
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 SLðnÞ of Drinfel'd and Jimbo, where the varieties involved are certain T-stable subvarieties of the (ordinary) flag variety.