Topological description of U_q(sl_2)-representations

Mathematics – Quantum Algebra

Scientific paper

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LaTeX2e, 24 pages, 5 figures. Proofs simplified, composition revised

Scientific paper

We prove there is an equivalence of ribbon categories between a category
introduced by Turaev whose morphisms are planar diagrams and a full subcategory
of the category of finite-dimensional modules over U_q(sl_2).

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