On Friday, 9 December 2011 04:25:23 UTC+8, Jeroen Demeyer wrote:
>
> On 2011-12-08 20:16, Mike Hansen wrote:
> > e[3,2,1] represents the product e[3]*e[2]*[1]:
> As far as I can tell, this is nowhere mentioned in the documentation.
>

well, this is standard in the symmetric functions business.
e_\lambda is defined for any partition \lambda in this way.
 

> Certainly not in the obvious places.
>
> > sage: e[3]*e[2]*e[1]
> > e[3, 2, 1]
> It would be nice to be able to expand e[3,2,1] into a polynomial
> e3*e2*e1, for example for expressing symmetric functions of the roots of
> a polynomial in terms of the coefficients of that polynomial.
>
Hmm, not sure I understand what you are asking for.

sage: e[3,2,1]==e[3]*e[2]*e[1]
True

Dima 

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