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New realizations of Lie algebra kappa-deformed Euclidean space

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Abstract

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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  1. Rudjer Bošković Institute, Bijenička c. 54, 10002, Zagreb, Croatia

    S. Meljanac & M. Stojić

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  1. S. Meljanac
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  2. M. Stojić
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Correspondence to S. Meljanac.

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Meljanac, S., Stojić, M. New realizations of Lie algebra kappa-deformed Euclidean space. Eur. Phys. J. C 47, 531–539 (2006). https://doi.org/10.1140/epjc/s2006-02584-8

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