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  • What are some examples and derivations of some basic symmetries (not coordinate symmetries)?

For example I remember a sufficient condition for being a symmetry of the lagrangian system is being an exact Cartan symmetry.

I wouldn't really want to jump into jet bundles, a formulation on sypmletic / preympletic spaces would suffice.

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closed as too broad by Qmechanic Apr 12 at 17:26

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ To reopen this post (v2) consider to only ask 1 subquestion per post and to avoid list-type subquestions (basically because they don't have unique answers that it make sense to vote on), i.e. remove the last subquestion. $\endgroup$ – Qmechanic Apr 12 at 17:27
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    $\begingroup$ Can't post a full answer now, but you should look into the geometry of jet bundles. The book "Introduction to global variational geometry" by Krupka is a fairly didactic reference. $\endgroup$ – Bence Racskó Apr 12 at 17:27
  • $\begingroup$ There is only one subquestion... $\endgroup$ – Schaurberger Apr 13 at 8:22
  • $\begingroup$ The question is about the abstract definition, subquestion about an example. $\endgroup$ – Schaurberger Apr 13 at 8:23
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    $\begingroup$ While I personally disagree with the closure of this question (I think it is clear that you want to know how Noether's theorem looks like geometrically, and that's it), you won't get any results by being so aggressive. $\endgroup$ – Bence Racskó Apr 15 at 10:16
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"If you change something but the Lagrangian does not change, something else is conserved"

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