06 1 v 1 1 0 N ov 1 99 3 HU - SEFT R 1993 - 15 Quantum Poincaré Subgroup of q - Conformal Group and q - Minkowski Geometry
نویسندگان
چکیده
We construct quantum deformation of Poincaré group using as a starting point SU(2, 2) conformal group and twistor-like definition of the Minkowski space. We obtain quantum deformation of SU(2, 2) as a real form of multi-parametric GL(4, C) q ij ,r. It is shown that Poincaré subgroup exists for special nonstandard one-parametric deformation only, the deformation parameter r being equal to unity. This leads to commuting affine structure of the corresponding Minkowski space and simple structure of the corresponding Lie algebra, the deformation of the group being non-trivial.
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