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Representation theory of Drinfeld doubles (Part 2)

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OAS - Operator algebras: subfactors and their applications

We study the representation theory of Drinfeld doubles of q-deformations via the analogy with that of complex semisimple Lie groups. As applications, we prove central property (T) for general higher rank q-deformations and a Howe-Moore type theorem for q-deformations. We also review how these properties can be interpreted in terms of tensor categories and subfactors.

This talk is part of the Isaac Newton Institute Seminar Series series.

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