Not signed in (Sign In)

Start a new discussion

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology colimits combinatorics complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homology homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory kan lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology natural nforum nlab nonassociative noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topological topology topos topos-theory type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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

    diff, v32, current

    • 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

    diff, v34, current

    • 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.

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)