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(Anti)de Sitter/Poincaré symmetries and representations from Poincaré/Galilei through a classical deformation approach
A classical deformation procedure, based on universal enveloping algebras, Casimirs and curvatures of symmetrical homogeneous spaces, is applied to several cases of physical relevance. Starting from the (3 + 1)D Galilei algebra, we describe at the level of representations the process leading to its two physically meaningful deformed neighbours. The …