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arXiv · 2403.04455

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

Hua-Lin Huang·Gongxiang Liu·Yuping Yang·Yu Ye
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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.

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Hua-Lin Huang, Gongxiang Liu, Yuping Yang, Yu Ye. 2024-03-07. On the Classification of Finite Quasi-Quantum Groups over Abelian Groups. https://arxiv.org/abs/2403.04455

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