A naive question about quantum groups
Quantum Algebra
2009-07-22 v2
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 self-extensions 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.
Cite
@article{arxiv.math/0004006,
title = {A naive question about quantum groups},
author = {Pierre-Yves Gaillard},
journal= {arXiv preprint arXiv:math/0004006},
year = {2009}
}
Comments
4 pages, TeX