When weak Hopf algebras are Frobenius

DOI10.1090/S0002-9939-09-10121-1zbMath1204.16023arXiv0810.4777OpenAlexW2040903375MaRDI QIDQ3550557

Lars Kadison, Miodrag Cristian Iovanov

Publication date: 31 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4777

zbMATH Keywords

weak Hopf algebrasFrobenius algebrasfinite tensor categoriesleft integralsweak quasi-Hopf algebras

Mathematics Subject Classification ID

Related Items (7)

Pairing and duality of algebraic quantum groupoids ⋮ Hopf modules, Frobenius functors and (one-sided) Hopf algebras ⋮ A Larson-Sweedler theorem for Hopf \(\mathcal{V} \)-categories ⋮ Frobenius Monoidal Algebras and Related Topics ⋮ Subring depth, Frobenius extensions, and towers. ⋮ A proof of the Brown-Goodearl conjecture for module-finite weak Hopf algebras ⋮ Antipodes, preantipodes and Frobenius functors

Cites Work

• Reconstruction of weak quasi Hopf algebras
• Integrals for (dual) quasi-Hopf algebras. Applications
• Larson-Sweedler theorem and the role of grouplike elements in weak Hopf algebras.
• On the structure of weak Hopf algebras
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• On fusion categories.
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
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