The Larson-Sweedler theorem for multiplier Hopf algebras.

DOI10.1016/j.jalgebra.2005.11.020zbMath1162.16029arXivmath/0408218OpenAlexW2166445010MaRDI QIDQ2368795

Alfons Van Daele, Shuan-Hong Wang

Publication date: 28 April 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408218

zbMATH Keywords

antipodescomultiplicationscointegralsmultiplier Hopf algebrasfaithful left integralsLarson-Sweedler theorem

Mathematics Subject Classification ID

Related Items (9)

Pairing and quantum double of finite Hopf \(C^*\)-algebras ⋮ Algebraic quantum hypergroups ⋮ A Larson-Sweedler theorem for Hopf \(\mathcal{V} \)-categories ⋮ From Hopf algebras to topological quantum groups. A short history, various aspects and some problems ⋮ L-R smash products for multiplier Hopf algebras. ⋮ The Larson–Sweedler theorem for weak multiplier Hopf algebras ⋮ Larson–Sweedler Theorem and Some Properties of Discrete Type in (G-Cograded) Multiplier Hopf Algebras ⋮ Antipodes, preantipodes and Frobenius functors ⋮ Partial compact quantum groups

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• An algebraic framework for group duality
• Multiplier Hopf algebras of discrete type
• Discrete quantum groups
• Hopf C*-Algebras
• A simple definition for locally compact quantum groups
• Multiplier Hopf Algebras
• The Haar measure on finite quantum groups
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• Locally compact quantum groups
• Pairing and quantum double of multiplier Hopf algebras

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