A Generalized Drinfeld Quantum Double Construction Based on Weak Hopf Algebras

DOI10.1080/00927870902865860zbMath1190.16043OpenAlexW2155650530MaRDI QIDQ3406592

Haixing Zhu, Shuan-Hong Wang

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902865860

zbMATH Keywords

weak Hopf algebrasquasi-triangular structuresweak coalgebrasDrinfeld quantum doublesweak Hopf dual pairings

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (2)

An algebraic framework for the Drinfeld double based on infinite groupoids ⋮ Connes' Pairings for a NewK-Theory over Weak Hopf Algebras

Cites Work

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• Invariants of knots and 3-manifolds from quantum groupoids
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
• New Braided Crossed Categories and Drinfel'd Quantum Double for Weak Hopf Group Coalgebras
• Blattner–Cohen–Montgomery's Duality Theorem for (Weak) Group Smash Products
• The Generalized C.M.Z.-Theorem and a Drinfel'd Double Construction for WT-Coalgebras and Graded Quantum Groupoids
• Graded Quantum Groups and Quasitriangular Hopf Group-Coalgebras

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