On Thu, Jun 11, 2009 at 8:26 PM, Nicolas M.
Thiery<nicolas.thi...@u-psud.fr> wrote:
>
> On Thu, Jun 11, 2009 at 03:57:51PM +0200, Franco Saliola wrote:
>>
>> On Sat, Jun 6, 2009 at 4:47 AM, William Stein<wst...@gmail.com> wrote:
>>
>> > XIII. Representation Theory
>> >
>> >   * Characters of finite groups; GAP has this, of course, but I don't
>> >     think Sage nicely wraps it.
>> >
>> > PROJECT: Wrap more of GAP's functionality, in particular characters of
>> > finite groups.
>>
>> Can you elaborate on this? What do you mean by 'nicely wraps'? I wrote the
>> ClassFunction class that wraps GAP's ClassFunction command, but I'd like to
>> know what more could/should be done. I am not a GAP expert so the code
>> would definitely benefit from someone more knowledgeable about GAP taking a
>> look at it and providing suggestions.
>>
>> Currently, if you have a group G, then you can define a character/class
>> function using G.character(values), you can access the irreducible
>> characters using G.irreducible_characters(), grab the character table ....
>>
>> I think a Sage Days dedicated to representation theory might be a good idea,
>> where the goal would be to implement: computation of the representation 
>> theory
>> of finite groups, finite semigroups, finite dimensional algebras (quivers 
>> with
>> relations), ....
>
> I am all up for this!
>
> Would this be an interesting topic for the Sage days at CIRM in March
> 2010? Or do you think this is too far ahead?

Certainly improving representation theory in Sage would be a great
choice of topic.  I hope we don't have to wait an entire year for the
above sketched functionality to happen though.

William

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