#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):

 Replying to [comment:12 SimonKing]:
 > 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...

 I mean, something like "one has a left action on a variety, which gives
 rise to a right action on the coordinate ring". I have to sort it out.

 If this is the case, then it should be better implemented in the `__mul__`
 method of polynomials, isn't it? Such as
 {{{
 sage: p*G.1*G.0==p*(G.1*G.0)
 True
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4513#comment:13>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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