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oai:riubu.ubu.es:10259/72222023-03-24T13:07:23Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259_7221

00925njm 22002777a 4500 dc Gubitosi, Giulia author Ballesteros Castañeda, Ángel author Herranz Zorrilla, Francisco José author 2020-08 Given a group of kinematical symmetry generators, one can construct a compatible noncommutative spacetime and deformed phase space by means of projective geometry. This was the main idea behind the very first model of noncommutative spacetime, proposed by H.S. Snyder in 1947. In this framework, spacetime coordinates are the translation generators over a manifold that is symmetric under the required generators, while momenta are projective coordinates on such a manifold. In these proceedings we review the construction of Euclidean and Lorentzian noncommutative Snyder spaces and investigate the freedom left by this construction in the choice of the physical momenta, because of different available choices of projective coordinates. In particular, we derive a quasi-canonical structure for both the Euclidean and Lorentzian Snyder noncommutative models such that their phase space algebra is diagonal although no longer quadratic. 1824-8039 http://hdl.handle.net/10259/7222 10.22323/1.376.0190 Generalized noncommutative Snyder spaces and projective geometry