"Classical" flag varieties for quantum groups: the standard quantum SL(n,C)

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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.
27 pages; needs LaTeX2e, AMS-LaTeX, XY-pic, and PSTricks (v2: several minor corrections)

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Quantum Algebra, Algebraic Geometry, Rings and Algebras, Primary 20G42; Secondary 14M15, 16S38, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/59512

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007005
 http://arxiv.org/abs/math/0007005
 Advances in Math. 171 (2002) 103-138

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arXiv