#4513: [with patch, needs work] Action of MatrixGroup on a MPolynomialRing
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 Reporter:  SimonKing                              |        Owner:  SimonKing 
     Type:  enhancement                            |       Status:  new       
 Priority:  major                                  |    Milestone:  sage-3.2.2
Component:  commutative algebra                    |   Resolution:            
 Keywords:  matrix group, action, polynomial ring  |  
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Comment (by SimonKing):

 Really Oops. Sorry.

 I implemented it analogous to what is done in Singular. Perhaps I am
 mistaken in the sense that it is supposed to be a right action (which then
 would deserve another notation).
 {{{
 sage: (G.0(G.1((p))))
 -x^2*y + x*y^2 - y^3
 sage: (G.1*G.0)(p)
 -x^2*y + x*y^2 - y^3
 }}}

 However, I think it doesn't matter what Singular does. I will look up the
 literature whether one really wants a ''right'' or ''left'' action, and
 how the left action is supposed to be.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4513#comment:12>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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