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math.QA2025

On the Representation Categories of Weak Hopf Algebras Arising from Levin-Wen Models

Ansi Bai, Zhi-Hao Zhang

In their study of Levin-Wen models [Commun. Math. Phys. 313 (2012) 351-373], Kitaev and Kong proposed a weak Hopf algebra associated with a unitary fusion category an…