# 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}
}
• 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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