Pointed Hopf algebras revisited, with a view from tensor categories (opens in new tab)

Hopf algebras appear in connection with various problems in Pure Mathematics and Theoretical Physics, mainly through their categories of representations, which are examples of tensor categories. In recent years, there have been major advances in the classification of finite-dimensional Hopf algebras over the complex numbers, especially when restricted to the pointed case. In this survey, we aim to review the main results in this direction, s...