The braided monoidal structure of tube algebra representations

Abstract: Ocneanu's tube algebra plays a central role in lattice models of Levin-Wen type, where topological excitations are given by irreducible representations. The purpose of the talk is to report on our recent results explicitly describing the tensor product of tube algebra representations and the braiding. The well-known linear equivalence between tube algebra representations and the Drinfeld center category is (by means of this structure) upgraded to a braided monoidal equivalence. This is joint work with Makoto Yamashita.

category theoryoperator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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