A naive question about quantum groups
Abstract
The category O of BGG can be thought of as a category of sheaves over the flag variety F in the sense that the algebra E of selfextensions of the trivial object of O is isomorphic to the cohomology algebra of the flag variety. A deformation of O'  giving rise to a "new" algebra E'  can be thought of as a (possibly noncommutative) deformation F' of F. The mythic variety F', being a deformation of F, should have the same homotopy type as F, and E' should therefore be isomorphic to E.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2000
 arXiv:
 arXiv:math/0004006
 Bibcode:
 2000math......4006G
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 4 pages, TeX