From double Lie groups to quantum groups

• Autorzy: Piotr Stachura
• Języki publikacji: EN

Abstrakty

EN

It is shown, using geometric methods, that there is a C*-algebraic quantum group related to any double Lie group (also known as a matched pair of Lie groups or a bicrossproduct Lie group). An algebra underlying this quantum group is the algebra of a differential groupoid naturally associated with the double Lie group.

Kategorie tematyczne

• 22E99: None of the above, but in this section
• 22A22: Topological groupoids (including differentiable and Lie groupoids)
• 81R50: Quantum groups and related algebraic methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2005
• Tom: 188
• Numer: 1
• Strony: 195-240

Daty

wydano

2005

Twórcy

autor

Piotr Stachura

• Department of Mathematics, The George Washington University, Washington, DC 20052, U.S.A.
• Department of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm188-0-10