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Mathematics > Quantum Algebra
Title: On the Classification of Finite Quasi-Quantum Groups over Abelian Groups
(Submitted on 7 Mar 2024)
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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