On second quantization of quantum groups

Autor(en)

Harald Grosse, Karl-Georg Schlesinger

Abstrakt

We construct a deformation of the function algebra on the quantum group SLq(2) into a trialgebra in the sense of Crane and Frenkel. We show that this naturally acts on the trialgebraic deformation of the Manin plane, previously introduced by the authors. Alternatively, one can view it as acting on the trialgebraic deformation of the fermionic Manin plane. We prove that the trialgebraic deformation of SLq(2) defines a 2-C*-category, a structure as needed for the superselection structure of massive two-dimemsional quantum field theories. Besides this, we investigate another approach to trialgebra deformations of a bialgebra as a deformation of a Fock space construction over the bialgebra. Π2000 American Institute of Physics.

Organisation(en)

Mathematische Physik

Journal

Journal of Mathematical Physics

Band

41

Seiten

7043-7060

Anzahl der Seiten

18

ISSN

0022-2488

DOI

https://doi.org/10.1063/1.1288798

Publikationsdatum

2000

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/c517441c-73c7-43c6-a187-4b62525053d8