Frobenius properties of tensor functors (Q2809970)

The abstract of the paper already explains the main result of the paper so clearly: the author extends a Fischman-Montgomery-Schneider's result about Frobenius property of an extension of finite-dimensional Hopf algebras to the categorical level, i.e., finite tensor categories. The most important observation of the author, I think, is that we have a categorical version of modular functions. The author gave a quite explicit description of the categorical version of modular object which deserve further study, as the author says.