On Tuesday, 11 September 2012 20:03:43 UTC+8, John Cremona wrote:
>
> I think this is a great idea.  Volker's invariants are maps from the 
> space of binary forms over some ring R into the coefficient ring, for 
> example the discriminant will always be one.  So I would have thought 
> to put them into the polynomials code (note that is_homogeneous() is 
> defined in rings/polynomial/multi_polynomial_libsingular.pyx). 
>
> Volker, will you also include what I call seminvariants? 
>

Yes, it's great, but I would rather like to see it packaged as invariants 
of a representation of SL(2,C), not
as invariants of a binary form. 
I CC this to sage-combinat, where they might have better ideas about where 
this should fit...
(and they actually might have some stuff in this direction already)


> John 
>
> On 11 September 2012 12:55, Volker Braun <[email protected] <javascript:>> 
> wrote: 
> > By "classical invariant theory", I mean invariant under the SL(n,C) 
> action 
> > and not just under a discrete subgroup. I believe the group theory stuff 
> > handles only the finite group case, right? 
> > 
> > On Tuesday, September 11, 2012 12:40:01 PM UTC+1, David Joyner wrote: 
> >> 
> >> 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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