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Dear GAP-Forum, dear Dima,

On Sat, 30 Dec 2000, Dima Pasechnik wrote:

while ConstituentsOfCharacter gives one a list of irreducible

constituents of a character x, I cannot find a function that

computes the multiplicities of irreducibles in x.

There is a function `MatScalarProducts' which gives you such multiplicities

in case of ordinary (complex) characters.

For a Brauer character table this is more difficult; you can use

`Decomposition' for the task.

An obvious modification of ConstituentsOfCharacter (returning consts

instead of Set(consts)) however does the thing (returning irreducibles with

right multiplicities).

(This remark is only for those who looked at the code in lib/ctblfuns.gi:)

That's not quite right, in `const' each tested character with non-zero

multiplicity is stored. If you test with the list of all irreducibles the

call of `Set(consts)' only sorts the list.

Best regards,

Frank

/// Dr. Frank Lübeck, Lehrstuhl D für Mathematik, Templergraben 64, /// \\\ 52062 Aachen, Germany \\\ /// E-mail: Frank.Luebeck@Math.RWTH-Aachen.De /// \\\ WWW: http://www.math.rwth-aachen.de/~Frank.Luebeck/ \\\

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