Dear Gap Forum,
I am a naive user of Character tables. Suppose that
t := CharTable("S4");
I'm interested in the eigenvalues of the representation (not just for
S4, but for larger symmetric groups as well), I was pleased to find
the function "Eigenvalues". My question is this:
I would like a function f(i,j) that does the following:
1) prints the partition of 4 corresponding to the i-th
irreducible representation of S4.
2) prints the partition of 4 corresponding to the j-th
conjugacy class of S4.
3) prints Eigenvalues(t,t.irreducibles[i],j) (this is the easy part)
Is this feasible?