%0 Journal Article
%T On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras
%A I. Heckenberger
%A S. Kolb
%J Mathematics
%D 2006
%I arXiv
%X A Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein-Gelfand-Gelfand resolution for symmetrizable Kac-Moody algebras are established. For quantized enveloping algebras with fixed complex nonzero deformation parameter q exactness is proven for all q which are not a root of unity.
%U http://arxiv.org/abs/math/0605460v1