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Re: SymmetricReduction

• To: mathgroup at smc.vnet.net
• Subject: [mg73223] Re: SymmetricReduction
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Thu, 8 Feb 2007 03:35:07 -0500 (EST)
• Organization: The Open University, Milton Keynes, UK
• References: <eqc7re$sln$1@smc.vnet.net>

Artur wrote:
> Who know how execute SymmetricReduction. Is these global or need package
> << Algebra`SymmetricPolynomials`
> 
> Any sample needed. In book of Cox's Galois Theory p. 404 states that is  
> possible do symmtric redyction by Mathematica of polynomial x^3+x^2-2x-1
> 
> BEST WISHES
> ARTUR JASINSKI
> 
Have you checked the documentation? Have a look at  "Add-ons & Links  / 
  Standard Packages  /  Algebra  /  SymmetricPolynomials"

http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Algebra/SymmetricPolynomials.html

In[1]:=
Needs["Algebra`SymmetricPolynomials`"]
SymmetricReduction[(x + y)^2 + (x + z)^2 + (z + y)^2, {x, y, z}]

Out[2]=
               2
{2 (x + y + z)  - 2 (x y + x z + y z), 0}

Regards,
Jean-Marc