> < ^ Date: Mon, 30 Jun 1997 00:52:41 +0200
> < ^ From: Dmitrii Pasechnik <d.pasechnik@twi.tudelft.nl >
> ^ Subject: Eigenvalues()

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
(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
'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>

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