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New realizations of Lie algebra kappa-deformed Euclidean space

Stjepan Meljanac·Marko Stojic
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Abstract

We study Lie algebra $κ$-deformed Euclidean space with undeformed rotation algebra $SO_a(n)$ 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 Poincar{é} algebra and with the corresponding deformed coalgebra is constructed in a unified way.

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Stjepan Meljanac, Marko Stojic. 2007-12-19. New realizations of Lie algebra kappa-deformed Euclidean space. https://doi.org/10.1140/epjc%2Fs2006-02584-8

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