From Double Lie Groups to Quantum Groups

2002/03/11 by Piotr Stachura, Stachura, Piotr
Mathematics · #22A22 #81R50 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.DG #math.OA #math.QA #msc:22A22 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0203098

32 pages, LaTex

arxiv created 2002/03/11 · openalex publication_date 2002/03/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that there is a C^*-algebraic quantum group related to any double Lie group. An algebra underlying this quantum group is an algebra of a differential groupoid naturally associated with a double Lie group

Related

• C^*-algebraic quantum groups arising from algebraic quantum groups
• The analytic structure of an algebraic quantum group
• Quantum algebras and Lie groups
• Construction of a C^*-algebraic quantum groupoid from a weak multiplier Hopf algebra
• Universal C*-algebraic quantum groups arising from algebraic quantum groups