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Cell Systems for SU(N) Quantum Subgroups

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

There has been a recent revival in the program to classify and construct module categories over the quantum group categories. This interest has mainly been fueled by applications to WZW conformal field theories. In this talk I will discuss an efficient method of constructing these module categories in type A via a cell calculus. Using this cell calculus, we are able to explicitly classify the module categories in the SU(4) case. This settles an old claim made by Ocneanu regarding these modules.

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

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