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We investigate dual realizations of non--commutative spaces of Lie algebra type in terms of formal power series in the Weyl algebra.
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P. Aschieri, M. Dimitrijević, P. Kulish, F. Lizzi, J. Wess, Noncommutative Spacetimes: Symmetry in Noncommutative Geometry and Field Theory
2009
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S. Meljanac and S. Krešić–Jurić, “Noncommutative differential forms on the κ \kappa –deformed space”, J. Phys. A: Math. Theor. 42
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S. Meljanac and S. Krešić–Jurić, “Differential structure on κ \kappa –Minkowski spacetime, and κ \kappa –Poincaré algebra”, Int. J. Mod. Phys. A 26
2011
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2006
Cited alongside, same era.
S. Meljanac and M. Stojić, “New realizations of Lie algebra kappa–deformed Euclidean space”, Eur. Phys. J. C 47
2006
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N. Durov, S. Meljanac, A. Samsarov and Z. Škoda, “A universal formula for representing Lie aglebra generators as formal power series with coefficients in the Weyl algebra”, J. Algebra 309
2007
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S. Meljanac, S. Krešić–Jurić and M. Stojić, “Covariant realizations of kappa–deformed space”, Eur. Phys. J. C 51
2007
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S. Meljanac and S. Krešić–Jurić, “Generalized kappa–deformed spaces, star products and their realizations”, J. Phys. A: Math. Theor. 41
2008
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2008
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M. Daszkiewicz, J. Lukierski and M. Woronowicz, “Towards quantum noncommutative κ \kappa –deformed field theory”, Phys. Rev. D 77
2008
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2012
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S. Meljanac, S. Krešić–Jurić and R. Štrajn, “Differential algebra on κ \kappa –Minkowski space and action of the Lorentz algebra”, Int. J. Mod. Phys. A 27
2012
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2012
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2014
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2014
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2014
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D. Kovačević, S. Meljanac, A. Samsarov and Z. Škoda, “Hermitian realizations of κ \kappa –Minkowski space–time”, Int. J. Mod. Phys. A 30
2015
Closest in time.
T. Jurić, S. Meljanac, D. Pikutić and R. Štrajn, “Towards the classification of differential calculi on κ \kappa –Minkowski space and related field theories”, JHEP 1507, 055 (2015); e–print ariXiv: 1502.02972v1
2015
Closest in time.