q-Algebras and Arrangements of Hyperplanes
arXiv:math/0111310
Abstract
Varchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can be usefully applied to q-algebras in general, of which quantum groups and quantum (super) Kac-Moody algebras are special cases. New results are obtained on the classification of q-algebras, and of the Serre ideals of generalized quantum (super) Kac-Moody algebras.
21 pages, TeX file, third expanded version