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The Noether theorems in context

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
Creators:
CreatorsEmailORCID
Kosmann-Schwarzbach, Yvetteyks@math.cnrs.fr
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
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
Date: 13 February 2020
URI: http://philsci-archive.pitt.edu/id/eprint/17251

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