Hi,

I do want implement an action of matrices on polygons. But I want to
store in which field the coordinates belong to (typically a number
field). Now consider a concrete example with the field QQ and K =
QQ[sqrt(2)].  By definition QQ embedds in QQ[sqrt(2)]. Let
 - p and m are respectively a polygon and a matrix with coefficients in QQ
 - P and M are respectively a polygon and a matrix with coefficients in K

I want to be able to do
sage: m * P  # answer should be polygon in K
sage: M * p   # answer should be polygon in K

The first one works perfectly (through coercion I guess). Is it
possible to make the second works as well ?

Note: I am using Action from sage.categories.action and
.register_action in the parent

Thanks
Vincent

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