English

Hopf-algebra description of noncommutative-spacetime symmetries

High Energy Physics - Theory 2009-11-10 v1

Abstract

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 κ\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 κ\kappa-Minkowski which is invariant under a 10-generators Poincar\'e-like symmetry algebra.

Keywords

Cite

@article{arxiv.hep-th/0309016,
  title  = {Hopf-algebra description of noncommutative-spacetime symmetries},
  author = {Alessandra Agostini},
  journal= {arXiv preprint arXiv:hep-th/0309016},
  year   = {2009}
}

Comments

7 pages, LaTex (To appear in the proceedings of 12-th International Colloquium "Quantum Groups and Integrable Systems", Prague, 12-14 June 2003.)