Lectures on tensor categories

Mathematics – Quantum Algebra

Scientific paper

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30 pages, latex

Scientific paper

We give a review of some recent developments in the theory of tensor
categories. The topics include realizability of fusion rings, Ocneanu rigidity,
module categories, weak Hopf algebras, Morita theory for tensor categories,
lifting theory, categorical dimensions, Frobenius- Perron dimensions,
classification of tensor categories.

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