130 citations · 442 across the 17 of their papers we have counts for
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Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations
Daniel Meljanac, Stjepan Meljanac, Zoran Škoda +1
We consider a two parameter family of Drinfeld twists generated from a simple Jordanian twist further twisted by 1-cochains. Twists from this family interpolate between two simple…
-deformed phase spaces, Jordanian twists, Lorentz-Weyl algebra and dispersion relations
D. Meljanac, S. Meljanac, S. Mignemi +1
We consider -deformed relativistic quantum phase space and possible implementations of the Lorentz algebra. There are two ways of performing such implementations. One is a simpl…
Twist for Snyder space
Daniel Meljanac, Stjepan Meljanac, Salvatore Mignemi +2
We construct the twist operator for the Snyder space. Our starting point is a non-associative star product related to a Hermitian realisation of the noncommutative coordinates orig…
Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach
Jerzy Lukierski, Daniel Meljanac, Stjepan Meljanac +2
We consider new Abelian twists of Poincare algebra describing non-symmetric generalization of the ones given in [1], which lead to the class of Lie-deformed quantum Minkowski space…
Families of vector-like deformed relativistic quantum phase spaces, twists and symmetries
Daniel Meljanac, Stjepan Meljanac, Danijel Pikutić
Families of vector-like deformed relativistic quantum phase spaces and corresponding realizations are analyzed. Method for general construction of star product is presented. Corres…
Twisted statistics and the structure of Lie-deformed Minkowski spaces
Daniel Meljanac, Stjepan Meljanac, Danijel Pikutić +1
We show that the realizations of noncommutative coordinates that are linear in the Lorentz generators form a closed Lie algebra under certain conditions. The star product and the c…