binbagsss
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If there are two symmetries of a Lagrangian, perhaps they are transformations, A and B, and they don't commute ##[A, B] \neq 0##. Let this act on some field, then if ##(BA) ^{-1}AB## does not return the original field, i.e. if ##(BA) ^{-1}AB \neq \mathbb{1}##, then this gives a rise to a new symmetry so it will have an associated charge/ current by Noethers theorem. I feel like this is a common occurrence but I can't find any references on considering this as a symmetry/computing an associated conserved charge/current. Is there certain terminology/framework I need to be searching for? Thanks
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