i run in sage 

is as_matrix_group equivalent to permutation matrix in gap system?

i find SU has variable a , which matrix is permutation matrix?

i input this result into singular system , it run a very long time for 
invariant ring.

LIB "finvar.lib";
ring R=0,(x,y,z),dp;
matrix A[3][3]=2*x,2,1,2,2,0,1,0,0;
matrix B(1..3);
B(1..3)=invariant_ring(A);

S3 = SU(3,3);
S3.as_matrix_group()
S3.as_permutation_group()
[    a     0     0]  [2*a   2   1]
[    0 a + 1     0]  [  2   2   0]
[    0     0   2*a], [  1   0   0]
S2 = SU(2,3);
S2.as_matrix_group()
S2.as_permutation_group()
[      1 2*a + 2]  [      0 2*a + 2]
[      0       1], [2*a + 2       0]
U1 = U(1,3);
U1.as_matrix_group()
U1.as_permutation_group()

On Thursday, June 23, 2016 at 1:13:23 AM UTC+8, vdelecroix wrote:
>
> And the error message is crystal clear 
>
>      AttributeError: 'UnitaryMatrixGroup_gap_with_category' object 
>      has no attribute 'as_permutation_group' 
>
> What do you want to do? 
>
> On 22/06/16 10:29, meInvent bbird wrote: 
> > S3 = SU(3,3); 
> > S3.as_matrix_group() 
> > S3.as_permutation_group() 
>

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