Hi:
Suppose a finite matrix group G generated by 3x3 matrices
A1, A2, ..., Ar acts on the polynomial ring QQ[x,y,z].
Singular has a command which computes a basis of
invariants. I'm stuck trying to run them in SAGE. The commands at
http://www.singular.uni-kl.de/Manual/latest/sing_1083.htm#SEC1142
are a good example to start. Using the SAGE interface to Singular,
it is easy to get started with
sage: R = singular.ring(0, '(x,y,z)', 'dp')
sage: A = singular.matrix(3,3,'0,1,0,-1,0,0,0,0,-1')
sage: singular.eval('LIB "finvar.lib";')
Now, I'm stuck. Everything I try returns an error.
For example, I expected R.invariant_ring(A) to work.
Are there any Singular experts here who can help with this?
- David
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