Dear GAP Forum,

Could someone provide me with a reference to the algorithm used
in the function Eigenvalues which computes the eigenvalues
of a representative of a conjugacy class in a given irreducible
representation?
(I cannot find this in standard texts on character theory.)

Eigenvalues __________________________________________________ Characters

'Eigenvalues( <tbl>, <char>, <class> )'

Let M be a matrix of a representation with character <char> which is
a character of the table <tbl>, for an element in the conjugacy class
<class>.
'Eigenvalues( <tbl>, <char>, <class> )' returns a list of length
'n = <tbl>.orders[ <class> ]' where at position 'i' the multiplicity
of 'E(n)^i = e^(frac(2pi i)(n))' as eigenvalue of M is stored.

Thanks in advance,
Dmitrii Pasechnik <D.Pasechnik@twi.tudelft.nl>