论文标题

在上下文中的纽约定理

The Noether theorems in context

论文作者

Kosmann-Schwarzbach, Yvette

论文摘要

在关于爱因斯坦一般的相对论一般理论引起的有关能量保护的辩论的背景下,我将绘制Noether 1918年文章“ Invariante variationsprobleme”的内容。 Noether的“ Infariante variationsprobleme”的原创性如何?她对谎言群体的使用以及对广义矢量领域的介绍的现代方式?她的文章有多影响?我将勾勒出她从1918年到1970年的结果的好奇传播,这是她后来在数学和物理学理论的后期发展的历史,以及对“ Noether定理”广泛适用性的最终认识。

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".

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