> < ^ From:

> < ^ Subject:

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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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