Free dynamical quantum groups and the dynamical quantum group $SU^{dyn}_{Q}(2)$

• Autorzy: Thomas Timmermann
• Języki publikacji: EN

Abstrakty

EN

We introduce dynamical analogues of the free orthogonal and free unitary quantum groups, which are no longer Hopf algebras but Hopf algebroids or quantum groupoids. These objects are constructed on the purely algebraic level and on the level of universal C*-algebras. As an example, we recover the dynamical $SU_{q}(2)$ studied by Koelink and Rosengren, and construct a refinement that includes several interesting limit cases.

Kategorie tematyczne

• 46L99: None of the above, but in this section
• 81R50: Quantum groups and related algebraic methods
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 311-341

Daty

wydano

2012

Twórcy

autor

Thomas Timmermann

• University of Muenster, Einsteinstr. 62, 48149 Muenster, Germany

Identyfikatory

DOI

10.4064/bc98-0-14