On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras
Quantum Algebra
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0605460,
title = {On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras},
author = {I. Heckenberger and S. Kolb},
journal= {arXiv preprint arXiv:math/0605460},
year = {2007}
}
Comments
12 pages