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arxiv: hep-th/0309016 · v1 · submitted 2003-09-01 · ✦ hep-th

Hopf-algebra description of noncommutative-spacetime symmetries

classification ✦ hep-th
keywords symmetriesalgebrahopf-algebrakappaminkowskispace-timeactionamelino-camelia
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I give a brief summary of the results reported in hep-th 0306013 in collaboration with G. Amelino-Camelia and F. D'Andrea. I focus on the analysis of the symmetries of $\kappa$-Minkowski noncommutative space-time, described in terms of a Weyl map. The commutative space-time 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 $\kappa$-Minkowski which is invariant under a 10-generators Poincar\'e-like symmetry algebra.

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