Hello,

I've been trying to use Sage to play around with representation
theory, but I'm running into trouble when dealing with characters. In
particular, I can't seem to build any character with complex values.
So, for example, I'm trying to build the irreducible characters for a
cyclic subgroup of order 3 in A_4.

H = AlternatingGroup(4)
g = H.list()[1]
K = H.subgroup([g])

# All integers works great
c = K.character([1,1,1])

# It doesn't seem to work with elements coming from anywhere else
# for example
zeta2 = e^((I*pi*2)/3)
c = K.character([1,zeta2,zeta2**2])

# Or from an other source;
k.<z> = NumberField(x^2+x+1)
zeta2 = k.roots_of_unity()[3]
c = K.character([1,zeta2,zeta2**2])

Both of these will both produce errors.

I'm using Sage 3.4. Any ideas?

Thank you,
Jerome

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