Calculating Moment Maps: Worked Examples Needed

[dioib]

I am looking for some worked examples of calculating moment maps. I have to calculate some moment maps but have no idea how to step further from the solid definitions I have seen. I would appreciate any help in this regard.

 

[mma]

Perhaps Silva's examples will help you. (Ana Cannas Da Silva - Lectures on Symplectic Geometry, lecture 22.4)