Module categories over pointed Hopf algebras

Abstract

We develop some techniques to the study of exact module categories over some families of pointed finite-dimensional Hopf algebras. As an application we classify exact module categories over the tensor category of representations of the small quantum groups $u_q({\mathfrak{sl}}_2)$.

31 pages, typos and other errors corrected. Some improvements on Lemma 5.5 have been done. Section 8.2 was corrected

References in corpus (2)

• Weakly group-theoretical and solvable fusion categories
• From conformal embeddings to quantum symmetries: an exceptional SU(4) example