TY - GEN AU - Aldaya, V. AU - Guerrero, J. AU - López Ruiz, Francisco Felipe A4 - Física Aplicada PY - 2021 SN - 0219-8878 UR - http://hdl.handle.net/10498/30443 AB - In this paper, we exploit the formal equivalence of the Solution Manifold of two distinct physical systems to create enough symmetries so as to characterize them by Noether Invariants, thus favoring their future quantization. In so doing, we somehow... LA - eng PB - WORLD SCIENTIFIC PUBL CO PTE LTD KW - Symmetry KW - non-linear systems KW - non-point symmetries KW - Cartan formalism KW - Hamilton–Jacobi KW - inverse Noether theorem KW - S3 sigma model KW - generalized position and momentum in de Sitter space-time TI - Sharing symmetries in non-linear systems: Generalized Heisenberg–Weyl algebra on the de Sitter space-time out of the sphere S3 DO - 10.1142/S0219887821500742 ER -