English

The Noether theorems in context

History and Overview 2020-04-21 v1 Mathematical Physics math.MP

Abstract

I shall sketch the contents of Noether's 1918 article, "Invariante Variationsprobleme", in the context of the debate on the conservation of energy that had arisen from Einstein's general theory of relativity. How original was Noether's "Invariante Variationsprobleme"? how modern were her use of Lie groups and her introduction of generalized vector fields? and how influential was her article? I shall sketch the curious transmission of her results from 1918 to 1970, the history of the later developments of her theory in mathematics and in physics, and the ultimate recognition of the wide applicability of "the Noether theorems".

Cite

@article{arxiv.2004.09254,
  title  = {The Noether theorems in context},
  author = {Yvette Kosmann-Schwarzbach},
  journal= {arXiv preprint arXiv:2004.09254},
  year   = {2020}
}

Comments

23 pages, to be published in "The Philosophy and Physics of Noether's Theorems", Nicholas Teh, James Read and Bryan Roberts, eds, Cambridge University Press

R2 v1 2026-06-23T14:57:55.816Z