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Dear GAP-Forum,
Dima Pasechnik wrote:
> Dear GAP-Forum,
>
> 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.
>
> An obvious modification of ConstituentsOfCharacter (returning consts
> instead of Set(consts)) however does the thing (returning
irreducibles with
> right multiplicities).
>
> Shouldn't GAP provide such a function?
I've written something that might help in the paper
http://web.usna.navy.mil/~wdj/gaplog1.dvi
though not for modular repns, as the original posters requested.
In fact, it was written for students, so I specialized to
the case of A5 for simplicity. Hopefully, generalizing it to
a GAP function should be doable. - David Joyner
Best wishes and Happy New Year,
Dmitrii
--
David Joyner, wdj@usna.edu, Prof Math Dept, USNA, Annapolis, MD, USA
office: 410-293-6738, Chauvenet Hall 328, URL: http://tinah.mslab.usna.edu/
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Dear GAP-Forum,
<br>
<p>Dima Pasechnik wrote:
<p>> Dear GAP-Forum,
<br>>
<br>> while ConstituentsOfCharacter gives one a list of irreducible
<br>> constituents of a character x, I cannot find a function that
<br>> computes the multiplicities of irreducibles in x.
<br>>
<br>> An obvious modification of ConstituentsOfCharacter (returning consts
<br>> instead of Set(consts)) however does the thing (returning
<br>irreducibles with
<br>> right multiplicities).
<br>>
<br>> Shouldn't GAP provide such a function?
<p>I've written something that might help in the paper
<br><A HREF="http://web.usna.navy.mil/~wdj/gaplog1.dvi">http://web.usna.navy.mil/~wdj/gaplog1.dvi</A>
<br>though not for modular repns, as the original posters requested.
<br>In fact, it was written for students, so I specialized to
<br>the case of A5 for simplicity. Hopefully, generalizing it to
<br>a GAP function should be doable. - David Joyner
<p>>
<br>>
<br>> Best wishes and Happy New Year,
<br>> Dmitrii
<br>
<br>
<pre>--
David Joyner, wdj@usna.edu, Prof Math Dept, USNA, Annapolis, MD, USA
office: 410-293-6738, Chauvenet Hall 328, URL: <A HREF="http://tinah.mslab.usna.edu/">http://tinah.mslab.usna.edu/</A></pre>
</html>
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