Kosmann-Schwarzbach, Yvette (2020) The Noether theorems in context. [Preprint]
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Abstract
Situating Noether's 1918 article, 'Invariante Variationsprobleme', in their context requires a brief outline of the work of her predecessors and a description of her career, first in Erlangen, then in Göttingen at the time of the debate on the conservation of energy that had arisen in the general theory of relativity. Her article will be briefly summarised. Then I shall address these questions: how original was the 'Invariante Variationsprobleme'? how modern were Noether's use of Lie groups and her introduction of generalized vector fields? and how influential was her article? To this end I shall sketch its reception from 1918 to 1970.
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| Item Type: | Preprint | ||||||
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| Additional Information: | To be published in "The Philosophy and Physics of Noether's Theorems", Nicholas Teh, James Read and Bryan Roberts, eds., Cambridge University Press. | ||||||
| Keywords: | invariance, conservation laws, calculus of variations, Emmy Noether, general theory of relativity, Felix Klein, David Hilbert, gauge theories, cohomological physics | ||||||
| Subjects: | Specific Sciences > Mathematics > History Specific Sciences > Mathematics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Dr. Yvette Kosmann-Schwarzbach | ||||||
| Date Deposited: | 28 May 2020 14:17 | ||||||
| Last Modified: | 28 May 2020 14:17 | ||||||
| Item ID: | 17251 | ||||||
| Subjects: | Specific Sciences > Mathematics > History Specific Sciences > Mathematics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 13 February 2020 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/17251 |
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