New realizations of Lie algebra kappa-deformed Euclidean space
Rudjer Bošković Institute, Bijenička c. 54, 10002, Zagreb, Croatia
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Revised: 10 April 2006
Published online: 27 June 2006
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.
© Springer-Verlag, 2006