The following works (at least in sage-4.4.4):

sage: R.<x,y,z> = QQ[]
sage: SF = SymmetricFunctions(QQ)
sage: SF.from_polynomial(x^2 + y^2 + z^2)
m[2]
sage: SF.from_polynomial(x^2 + y^2)
...
ValueError: x^2 + y^2 is not a symmetric polynomial

Cheers,
Jason

On 07/20/2010 09:23 PM, kcrisman wrote:
> It doesn't seem there is one at this point, though there is a lot of
> stuff for using them.  This is now 
> http://trac.sagemath.org/sage_trac/ticket/9558
> ..
> 
> - kcrisman
> 
> On Jul 20, 7:11 am, Epsilon <[email protected]> wrote:
>> Hi,
>>
>> I would like to know if there are any function that says if a
>> polynomial is or not symmetric (like: 'is_symmetric'), so Mathematica
>> have this kind of function.
>>
>> http://en.wikipedia.org/wiki/Symmetric_polynomial
>>
>> Thanks!
>>
>> Esther
> 


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