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Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
Symmetry, integrability and geometry: methods and applications, Tome 18 (2022) Cet article a éte moissonné depuis la source Math-Net.Ru

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We review deformed quantum phase spaces and their realizations in terms of undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta and twist from realizations are presented, as well as their properties and the relations between them. Lie deformed quantum phase spaces and Snyder type spaces are considered. Examples of linear realizations of the $\kappa$-Minkowski spacetime are elaborated. Finally, some new results on quadratic deformations of quantum phase spaces and a generalization of Yang and triply special relativity models are presented.
Keywords: deformed quantum phase spaces, realizations, star products, twists. 
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     title = {Deformed {Quantum} {Phase} {Spaces,} {Realizations,} {Star} {Products} and {Twists}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a21/}
}
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Stjepan Meljanac; Rina Štrajn. Deformed Quantum Phase Spaces, Realizations, Star Products and Twists. Symmetry, integrability and geometry: methods and applications, Tome 18 (2022). http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a21/

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