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q-Algebras and Arrangements of Hyperplanes

Christian Fronsdal
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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.

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Christian Fronsdal. 2003-02-25. q-Algebras and Arrangements of Hyperplanes. https://arxiv.org/abs/math/0111310

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