Larson–Sweedler Theorem and Some Properties of Discrete Type in (G-Cograded) Multiplier Hopf Algebras

DOI10.1080/00927870600549832zbMath1113.16045OpenAlexW2046795238MaRDI QIDQ5481657

Alfons Van Daele, Shuan-Hong Wang

Publication date: 10 August 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600549832

zbMATH Keywords

antipodescointegralsLarson-Sweedler theoremgroup-cograded multiplier Hopf algebras of discrete typeHopf \(G\)-coalgebras

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

• An algebraic framework for group duality
• Multiplier Hopf algebras of discrete type
• Hopf group-coalgebras
• Twisted tensor coproduct of multiplier Hopf algebras.
• Discrete quantum groups
• The Larson-Sweedler theorem for multiplier Hopf algebras.
• Quasitriangular (\(G\)-cograded) multiplier Hopf algebras.
• Multiplier Hopf Algebras
• DISCRETE QUANTUM GROUPS I: THE HAAR MEASURE
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• Pairing and quantum double of multiplier Hopf algebras