New realizations of Lie algebra kappa-deformed Euclidean space

By Stjepan Meljanac, M. Stojić. 2006

152 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0b6530125f73c3d6b43b8d168a9a80460e65cf49

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In Statistical and Nonlinear Physics

1. M. Stojić
2. Stjepan Meljanac
3. K. S. Gupta
4. Andjelo Samsarov

Citations in the corpus

• κ-Minkowski spacetime and the star product realizations (2007, background): “1 we review the results of Ref.[24] which are important for the investigations carried out in this paper, including the notions of κ-deformed Euclidean space, its realizations in terms of commutative coordinates, and the realizations of the undeformed rotation algebra SOa(n) compatible with κ deform”