On the Classification of Finite Quasi-Quantum Groups over Abelian Groups

Abstract

Using a variety of methods developed in the theory of finite-dimensional quasi-Hopf algebras, we classify all finite-dimensional coradically graded pointed coquasi-Hopf algebras over abelian groups. As a consequence, we partially confirm the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik.

30 pages. arXiv admin note: text overlap with arXiv:1710.07917