The Drinfel'd double versus the Heisenberg double for an algebraic quantum group.

DOI10.1016/j.jpaa.2003.10.031zbMath1056.16027OpenAlexW2092166050MaRDI QIDQ1878447

Lydia Delvaux, Alfons Van Daele

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.031

zbMATH Keywords

Drinfeld doublesquasitriangular multiplier Hopf algebrasHeisenberg doublesdual multiplier Hopf algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Twisted tensor coproduct of multiplier Hopf algebras. ⋮ Quasitriangular (\(G\)-cograded) multiplier Hopf algebras. ⋮ The field algebra in Hopf spin models determined by a Hopf \(\ast\)-subalgebra and its symmetric structure ⋮ Quantum group-twisted tensor products of \(C^*\)-algebras. II. ⋮ On corepresentations of multiplier Hopf algebras. ⋮ An algebraic framework for the Drinfeld double based on infinite groupoids ⋮ A lot of quasitriangular group-cograded multiplier Hopf algebras. ⋮ Yetter–Drinfel'd Modules for Group-Cograded Multiplier Hopf Algebras ⋮ ON THE MODULES OF A DRINFEL'D DOUBLE MULTIPLIER HOPF (*-)ALGEBRA ⋮ A class of multiplier Hopf algebras. ⋮ Heisenberg double as braided commutative Yetter-Drinfel'd module algebra over Drinfel'd double in multiplier Hopf algebra case ⋮ The Drinfel’d double versus the Heisenberg double for Hom-Hopf algebras ⋮ A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS ⋮ Notes on Drinfeld twists of multiplier Hopf algebras ⋮ Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts

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