On Tuesday, August 16, 2011 10:49:07 AM UTC+2, Johhannes wrote:
>
> The given example was not right at all. this one works:
> R = C[x1,x2,x3]
> I = C[x1x2x3,x1^3,x2^3,x3^3]
> this leads to G given as above:
> > let G \subset SL_3(CC) act by a e_i -> a x_i. If xi is a third primitive
> > root of uni
The given example was not right at all. this one works:
R = C[x1,x2,x3]
I = C[x1x2x3,x1^3,x2^3,x3^3]
this leads to G given as above:
> let G \subset SL_3(CC) act by a e_i -> a x_i. If xi is a third primitive
> root of unity, then G must be generated by
> diagonalmatrix(xi,xi,xi).
greatz Johannes
Hi list
I have given an Ideal I in the polynomial ring R and I need to know the
minimal group G wich acts on I such that I is the Invariant Ring of R
under the action of G.
for example:
let R = CC.,
I the ideal generated by
let G \subset SL_3(CC) act by a e_i -> a x_i. If xi is a third primitive
