Hopf-Algebra Description of Noncommutative-Spacetime Symmetries
Abstract
A brief summary is given of the results reported in [hep-th/0306013], in collaboration with G. Amelino-Camelia and F. D'Andrea. It is focused on the analysis of the symmetries of -Minkowski noncommutative spacetime, described in terms of a Weyl map. The commutative-spacetime notion of Lie-algebra symmetries must be replaced by the one of Hopf-algebra symmetries. However, in the Hopf-algebra sense, it is possible to construct an action in -Minkowski, which is invariant under a 10-generators Poincaré-like symmetry algebra.
- Publication:
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Czechoslovak Journal of Physics
- Pub Date:
- November 2003
- DOI:
- arXiv:
- arXiv:hep-th/0309016
- Bibcode:
- 2003CzJPh..53..955A
- Keywords:
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- DSR - noncommutative geometry - -Minkowski - -Poincaré
- High Energy Physics - Theory
- E-Print:
- 7 pages, LaTex (To appear in the proceedings of 12-th International Colloquium "Quantum Groups and Integrable Systems", Prague, 12-14 June 2003.)