Lectures on tensor categories

  • Damien Calaque

    Université Montpellier 2, France
  • Pavel Etingof

    Massachusetts Institute of Technology, Cambridge, United States
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Abstract

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, and classification of tensor categories.