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Gallier, J. (2001) Basics of Classical Lie Groups: The Exponential Map, Lie Groups, and Lie Algebras. In: Geometric Methods and Applications, Texts in Applied Mathematics, Springer, New York, Vol. 38, 367-414.
https://doi.org/10.1007/978-1-4613-0137-0_14

has been cited by the following article:

• TITLE: Framing Noether’s Theorem

  AUTHORS: Caesar P. Viazminsky

  KEYWORDS: Noether’s Theorem, Continuous Spatial Symmetries, Conserved Momenta

  JOURNAL NAME: Applied Mathematics, Vol.9 No.3, March 29, 2018

  ABSTRACT: We discuss Noether’s theorem from a new perspective and show that the spatial continuous symmetries of a system are on one hand symmetries of the space and on the other hand are dictated by the system’s potential energy. The Noether’s charges arising from an infinitesimal motion, or a Killing vector field, of the space, are conserved if the Lie derivative of the potential energy by this vector field vanishes. The possible spatial symmetries of a mechanical system are listed according to the potential energy of the external forces.