Abstract
For a wide class of lagrangian systems we show rigorously that the conventional formulation of Noether's theorem provides a bijective map from the set of equivalence classes of Noether's symmetries onto the set of equivalence classes of conserved currents. We further discuss if Noether's theorem is generalized in a significant way by several formulations proposed in this decade.
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Partially supported by the Junta de Energia Nuclear, Madrid.
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Martinez Alonso, L. On the Noether map. Lett Math Phys 3, 419–424 (1979). https://doi.org/10.1007/BF00397216
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DOI: https://doi.org/10.1007/BF00397216