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arxiv: math/0201095 · v3 · submitted 2002-01-10 · 🧮 math.QA

A characterization of quantum groups

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keywords groupswhoseabelianalgebrasbraidingscharacterizationclassifydimension
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We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension, which are domains, whose groups of group-like elements are finitely generated and abelian, and whose infinitesimal braidings are positive.

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