## deformation of Noether’s 1st theorem

Has anything been written on the following: Noether's 1st variational theorem establishes a correspondence betwween symmetries and invariants. If we deform the symmetries, the invariants deform as... How about if the Lie algebra of symms is deformed as an L-infty-algebra?

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 Hmm, the Lagrangian controls both the symmetries and the conserved currents and, as you say, provides an isomorphism between them via Nöther's first theorem. So if one is deformed, by isomorphism, the other follows suit. However, by definition, the symmetries of a Lagrangian AFAIK always remain a Lie algebra. Do you have an example of a non-Lie algebra deformation? – Igor Khavkine Sep 10 at 22:56