Pairing and Quantum Double of Multiplier Hopf Algebras

1996/09/16 by Bernhard Drabant, Drabant, Bernhard, Alfons Van Daele +1 · 1 citation
Mathematics · #16W30 #17B37 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Quantum Algebra (math.QA) #funct-an #math.FA #math.QA #msc:16W30 #msc:17B37 #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9609013

AMS-TeX, 21 pages

arxiv created 1996/09/16 · openalex publication_date 1996/09/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define and investigate pairings of multiplier Hopf algebras. It is shown that two dually paired regular multiplier Hopf (*-)algebras A and B yield a quantum double multiplier Hopf (*-)algebra which is again regular. Integrals on A and B induce an integral on the quantum double. The results generalize pairing and quantum double construction from ordinary Hopf algebras to multiplier Hopf algebras.

Cited by

• Complex semisimple quantum groups and representation theory

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