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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJul 3rd 2012

I have expanded and edited moment map.

• CommentRowNumber2.
• CommentAuthorjim_stasheff
• CommentTimeJul 3rd 2012
I have added to the related concepts a remark about other forms of symplectic reduction.
• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeSep 3rd 2014
• (edited Sep 3rd 2014)

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.)

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeMay 31st 2019
1. angular moment

Joe Onekun

• CommentRowNumber6.
• CommentAuthorRodMcGuire
• CommentTimeJul 2nd 2019
• (edited Jul 2nd 2019)

Joe Onekun left the page badly broken

EDIT never mind, he fixed it as anonymous.

2. 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

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeMar 29th 2020

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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