Seminar, Hans Wenzl (UCSD), Coideal Algebras and Subfactors, J356

Title: Coideal Algebras and Subfactors

Abstract: It is well-known that any subgroup of a group G defines a module category over Rep G. Analogs of special embeddings of Lie groups, symmetric spaces, also exist for quantum groups as coideal subalgebras. This should also provide large classes of examples of module categories of fusion categories coming from quantum groups. This has been worked out for a number of important cases where one can explicitly calculate the corresponding algebra objects and indices of the corresponding subfactors.