On Tue, Sep 11, 2012 at 7:32 AM, Volker Braun <[email protected]> wrote:
> I need some classical invariant theory and didn't find the formulae in Sage,
> so I'm adding it. My plan is to have a single invariant_theory factory
> object in the global namespace:
>
>     sage: R.<x,y,z> = QQ[]
>     sage: cubic = invariant_theory.ternary_cubic(x^3+y^3+z^3)
>     sage: cubic.T_invariant()
>     1
>
>     sage: R.<x,y,t> = GF(7)[]
>     sage: quartic = invariant_theory.binary_quartic(x^4+y^4+t*x^2*y^2,
> [x,y])
>     sage: quartic.EisensteinD()
>     3*t^2 + 1
>     sage: quartic.h_covariant()
>     2*x^5*y*t^2 - 2*x*y^5*t^2 - x^5*y + x*y^5
>
> I'm unsure of where to put the code; Tentatively I've stuffed it into
> sage/schemes/invariant_theory.py but I'm open for suggestions. Thoughts?


There are some invariant theory commands that Simon King and I added into
one of the group theory modules. Maybe you are doing something different?

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