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I have expanded and edited moment map.
for completeness I have spelled out here the proof that the Lie-algebraic and the Poisson-algebraic definition of the moment map are indeed equivalent.
(This is straightforward unwinding of definitions. But somebody asked me and it seems in the literature this is always left as an exercise. So I spelled it out explicitly.)
added section References – In thermodynamics
Joe Onekun left the page badly broken
EDIT never mind, he fixed it as anonymous.
Change name to momentum map. Moment map is a misnomer and physically incorrect. It is an erroneous translation of the French notion application moment. See this mathoverflow question for the history of the name.
Tobias Diez
Thanks, but what one really should do is add any discussion (or pointer to it) of the history of the term to the entry.
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