6533b82bfe1ef96bd128dff6
RESEARCH PRODUCT
From where do quantum groups come?
Daniel SternheimerMoshé FlatoZhi-cheng Lusubject
Quantization (physics)POVMCanonical quantizationQuantum processPhase spaceQuantum mechanicsQuantum operationGeneral Physics and AstronomyQuantum phasesGroup theoryMathematicsdescription
The phase space realizations of quantum groups are discussed using *-products. We show that on phase space, quantum groups appear necessarily as two-parameter deformation structures, one parameter (v) being concerned with the quantization in phase space, the other (η) expressing the quantum groups as “deformation” of their Lie counterparts. Introducing a strong invariance condition, we show the uniqueness of the η-deformation. This suggests that the strong invariance condition is a possible origin of the quantum groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-04-01 | Foundations of Physics |