2000/04/02 by Pierre-Yves Gaillard, Gaillard, Pierre-Yves
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.QA
paper · pdf · doi:10.48550/arxiv.math/0004006
4 pages, TeX
arxiv created 2009/07/22 · arxiv updated 2009/11/30
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.