Abstract.
A general method to easily build global and relative operators for any number n of elementary systems if they are defined for 2 is presented. It is based on properties of the morphisms valued in the tensor products of algebras of the kinematics and it allows also the generalization to any n of relations demonstrated for two. The coalgebra structures play a peculiar role in the explicit constructions. Three examples are presented concerning the Galilei, Poincaré and deformed Galilei algebras.
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Submitted 11/06/01, accepted 15/04/02
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Sorace, E. Algebraic Structure of n-Body Systems. Ann. Henri Poincaré 3, 659–671 (2002). https://doi.org/10.1007/s00023-002-8630-9
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DOI: https://doi.org/10.1007/s00023-002-8630-9