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Universal -Poincaré covariant differential calculus over -Minkowski space
Tajron Juric, Stjepan Meljanac, Rina Strajn
Unified graded differential algebra, generated by -Minkowski noncommutative (NC) coordinates, Lorentz generators and anticommuting one-forms, is constructed. It is compatible wi…
Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
Tajron Juric, Stjepan Meljanac, Rina Strajn
The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The -deformed phase space with noncommutative coordinates is realized in t…
K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
Tajron Juric, Stjepan Meljanac, Rina Strajn
We unify k-Poincare algebra and k-Minkowski spacetime by embeding them into quantum phase space. The quantum phase space has Hopf algebroid structure to which we apply the twist in…