Abstract

Symmetry: Culture and Science
Volume 29, Number 4, pages 475-485 (2018)
https://doi.org/10.26830/symmetry_2018_4_475

EMMY NOETHER’S ENDURING LEGACY IN SYMMETRY

Peter J. Olver

School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
E-mail: olver@umn.edu
Web: http://math.umn.edu/∼olver
orcid.org/0000-0002-1652-4138

Abstract: A short appreciation of Emmy Noether’s original contributions to symmetry analysis of differential equations and variational problems.

Keywords: Noether’s Theorems, symmetry group, conservation law, variational problem, Euler–Lagrange equation, general relativity, generalized symmetry, integrable system. MSC 2010: 22E70, 49S05, 58E40, 70H33, 83C40