#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-3.2.1
Component:  commutative algebra                    |   Resolution:            
 Keywords:  matrix group, action, polynomial ring  |  
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Changes (by was):

  * summary:  [with patch, needs review] Action of MatrixGroup on a
              MPolynomialRing => [with patch, needs work]
              Action of MatrixGroup on a MPolynomialRing

Comment:

 REFEREE REPORT:

 Check this out:
 {{{
 sage: R.<x,y> = GF(3)[]
 sage: M=Matrix(GF(3),[[1,2],[1,1]])
 sage: M2=Matrix(GF(3),[[1,2],[1,0]])
 sage: G=MatrixGroup([M, M2])
 sage: (G.0*G.1)(p)
 -x^2*y + x*y^2 - y^3
 sage: G.0(G.1(p))
 x^2*y + x*y^2 + y^3
 }}}

 Oops, your *left action* -- which it better be if you use that notation --
 ain't a left action!  Oops

  -- William

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4513#comment:11>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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