Dear GAP Forum,
I am decomposing representations of finite groups and I find that I
need to keep track of the field the characters (or eigenvalues) take
values in.
If I start with
R := PolynomialRing(Rationals,3);;
I find that I should really have done
F := Field(Sqrt(3), E(4));;
R := PolynomialRing(F,3);;
instead, to get a nice decomposition in some example.
Is there some way to do this automatically without explicitly
examining the eigenvalues/characters first?
(And I think I now see why everybody tells me to work with
permutation groups instead of matrix representations - I think those
decompose over the Rationals only...)
But I still would like to have a solution to my problem above... :)
Thanks
Ravi
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