Quasitriangular (\(G\)-cograded) multiplier Hopf algebras.

DOI10.1016/j.jalgebra.2005.02.023zbMath1079.16022arXivmath/0408220OpenAlexW1977656261MaRDI QIDQ2386074

Lydia Delvaux, Alfons Van Daele, Shuan-Hong Wang

Publication date: 22 August 2005

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

Full work available at URL: https://arxiv.org/abs/math/0408220

zbMATH Keywords

antipodesquasitriangular Hopf algebrasOre extensionsmultiplier Hopf algebrascograded Hopf algebras

Mathematics Subject Classification ID

Related Items (14)

On corepresentations of multiplier Hopf algebras. ⋮ An algebraic framework for the Drinfeld double based on infinite groupoids ⋮ Multiplier Hopf algebras in categories and the biproduct construction. ⋮ A lot of quasitriangular group-cograded multiplier Hopf algebras. ⋮ Yetter–Drinfel'd Modules for Group-Cograded Multiplier Hopf Algebras ⋮ A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS ⋮ Notes on Drinfeld twists of multiplier Hopf algebras ⋮ Larson–Sweedler Theorem and Some Properties of Discrete Type in (G-Cograded) Multiplier Hopf Algebras ⋮ On the Antipode of a Co-Frobenius (Co)Quasitriangular Hopf Algebra ⋮ Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts ⋮ Constructing New BraidedT-Categories Over Regular Multiplier Hopf Algebras ⋮ Traces on Multiplier Hopf Algebras ⋮ On BraidedT-Categories over Multiplier Hopf Algebras ⋮ Constructing Quasitriangular Hopf Algebras

Cites Work

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• The Drinfel'd double versus the Heisenberg double for an algebraic quantum group.
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• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• The quantum double of a cofrobenius hopf algebra
• Actions of multiplier hopf algebras
• Multiplier Hopf Algebras
• Pairing and quantum double of multiplier Hopf algebras
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