New realizations of Lie algebra kappa-deformed Euclidean space

@article{Meljanac2006NewRO,
  title={New realizations of Lie algebra kappa-deformed Euclidean space},
  author={Stjepan Meljanac and Marko Stoji{\'c}},
  journal={The European Physical Journal C - Particles and Fields},
  year={2006},
  volume={47},
  pages={531-539}
}
  • S. MeljanacM. Stojić
  • Published 13 May 2006
  • Mathematics
  • The European Physical Journal C - Particles and Fields
We study Lie algebra κ-deformed Euclidean space with undeformed rotation algebra SOa(n) and commuting vectorlike derivatives. Infinitely many realizations in terms of commuting coordinates are constructed and a corresponding star product is found for each of them. The κ-deformed noncommutative space of the Lie algebra type with undeformed Poincaré algebra and with the corresponding deformed coalgebra is constructed in a unified way. 

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