q-Algebras and Arrangements of Hyperplanes

Details q-Algebras and Arrangements of Hyperplanes q-Algebras and Arrangements of Hyperplanes

2001-11-30

arxiv.org/abs/math/0111310v3

Mathematics

Quantum Algebra

21 pages, TeX file, third expanded version

Scientific paper

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.

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