Hi.
I've written a small pair of functions which could be useful:
1) A function is_symmetric which, given a polynomial, returns whether
or not the polynomial is a symmetric polynomial.
2) A function symmetrize which, given a symmetric polynomial, returns
an equivalent expression in terms of the elementary symmetric polynomials.
The code, which likely needs some cleanup (and modifications to do things "the
Sage way", whatever it may be), is here: http://codepad.org/gJpNRfHH
Would there be interest in adding these to Sage perhaps? I tried searching for
similar functionality but couldn't find it.
Cheers,
- Fede
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