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Appendix III. Symmetry groups of system of differential equations and the Noether Theorem

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Non-commuting Variations in Mathematics and Physics

Part of the book series: Interaction of Mechanics and Mathematics ((IMM))

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Abstract

Noether Theory of Symmetries and Conservation laws is a beautiful chapter in mathematical physics. Here we present the form this theory take place in the presence of non-commuting variations. Shortly speaking, in the presence of non-commutative variations, Noether laws becomes balance (not conservation) laws.

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Correspondence to Serge Preston .

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© 2016 Springer International Publishing Switzerland

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Preston, S. (2016). Appendix III. Symmetry groups of system of differential equations and the Noether Theorem. In: Non-commuting Variations in Mathematics and Physics. Interaction of Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-28323-4_9

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  • DOI: https://doi.org/10.1007/978-3-319-28323-4_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28321-0

  • Online ISBN: 978-3-319-28323-4

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