The Drinfel'd double of multiplier Hopf algebras.

DOI10.1016/j.jalgebra.2003.03.003zbMath1044.16028OpenAlexW1992230642MaRDI QIDQ1425096

Alfons Van Daele, Lydia Delvaux

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.03.003

zbMATH Keywords

Drinfeld doublesmultiplier Hopf algebrasleft integrals

Mathematics Subject Classification ID

Related Items (15)

The Drinfel'd double versus the Heisenberg double for an algebraic quantum group. ⋮ Twisted tensor coproduct of multiplier Hopf algebras. ⋮ Quasitriangular (\(G\)-cograded) multiplier Hopf algebras. ⋮ The Drinfel'd double for group-cograded multiplier Hopf algebras. ⋮ The field algebra in Hopf spin models determined by a Hopf \(\ast\)-subalgebra and its symmetric structure ⋮ Group-cograded multiplier Hopf (\(*\)-)algebras. ⋮ Partial \(\ast \)-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups ⋮ An algebraic framework for the Drinfeld double based on infinite groupoids ⋮ Hecke algebras and the Schlichting completion for discrete quantum groups ⋮ 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. ⋮ BICROSSPRODUCTS OF ALGEBRAIC QUANTUM GROUPS ⋮ The quantum symmetry in nonbalanced Hopf spin models determined by a normal coideal subalgebra ⋮ On the Twisting and Drinfel'd Double for Multiplier Hopf Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• Finiteness conditions for a Hopf algebra with a nonzero integral
• An algebraic framework for group duality
• Twisted tensor product of multiplier Hopf (*-)algebras.
• The analytic structure of algebraic quantum groups.
• Minimal quasitriangular Hopf algebras
• Actions of multiplier hopf algebras
• Dual Pairs of Hopf *-Algebras
• Multiplier Hopf Algebras
• The Size of the Intrinsic Group of a Multiplier Hopf Algebra
• Pairing and quantum double of multiplier Hopf algebras

This page was built for publication: The Drinfel'd double of multiplier Hopf algebras.