Hans Wenzl, "Subfactors from another q-Brauer algebra"

We define a new q-deformation of Brauer's centralizer algebra. This is used to construct subfactors which can be considered as quantum analogs for the inclusion of the fixed point algebra under an outer SU(N) action contained in the fixed points of SO(N). Unlike in the classical case, we get finite index finite depth subfactors. We also discuss the connection of the resulting tensor categories to twisted loop groups.