New realizations of Lie algebra kappa-deformed Euclidean space |
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Authors: | S Meljanac M Stoji? |
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Institution: | (1) Rudjer Bošković Institute, Bijenička c. 54, 10002 Zagreb, Croatia |
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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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