I've been looking at the original work of Noether and I'm confused about this point. The transformation of fields and coordinates are supossed to form a group, then how the inverse of(adsbygoogle = window.adsbygoogle || []).push({});

$$B^{\mu}=B^{\mu}(A^{\mu},\partial A^{\mu}/\partial x^{\nu},x^{\mu},\epsilon) $$

$$y^{\mu}=y^{\mu}(A^{\mu},\partial A^{\mu}/\partial x^{\nu},x^{\mu},\epsilon) $$

is supposed to be obtained?

For the sake of simplicity we suppose that ##\epsilon## is a single parameter and only first derivatives of the field appear.

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# I About Noether Theorem

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