I think
(a) that particular module is described in lots of books
(b) the way you do decompositions of modular representations
in general is to use meataxe or Brauer characters. Sage has
them since GAP does and Sage contains GAP.

If you have a technical question about GAP syntax, you might also
look at the GAP reference manual or email the gap support list.


On Tue, Oct 20, 2009 at 10:08 AM, adam mohamed
<adam.hariv...@googlemail.com> wrote:
> For an integer n, it is the sub-module homogeneous polynomials in two
> variables of degree over a finite field k with  the action of GL_2( k ). So
> I know the generators of the modules but I am not sure how to describe it as
> a Meataxe module.
>
> On Tue, Oct 20, 2009 at 3:52 PM, David Joyner <wdjoy...@gmail.com> wrote:
>>
>> Can you describe it as a Meataxe module?
>> http://www.gap-system.org/Manuals/doc/htm/ref/CHAP067.htm
>>
>> On Tue, Oct 20, 2009 at 8:04 AM, adam mohamed
>> <adam.hariv...@googlemail.com> wrote:
>> > It is some polynomial module over  a finite field. Thanks for the quick
>> > reply.
>> >
>> > On Tue, Oct 20, 2009 at 1:57 PM, David Joyner <wdjoy...@gmail.com>
>> > wrote:
>> >>
>> >> What type of module? Sage contains GAP, which might do what you want
>> >> http://www.gap-system.org/Manuals/doc/htm/ref/chapters.htm
>> >>
>> >>
>> >> On Tue, Oct 20, 2009 at 7:32 AM, adam mohamed
>> >> <adam.hariv...@googlemail.com> wrote:
>> >> >
>> >> > Hi All,
>> >> >
>> >> > Is it possible to compute the semi-simplification of  a module in
>> >> > sage
>> >> > or I
>> >> > have to use magma for that? Thanks.
>> >> >
>> >> >
>> >> > --
>> >> > adam
>> >> >
>> >> > >
>> >> >
>> >>
>> >>
>> >
>> >
>> >
>> > --
>> > adam
>> >
>> > >
>> >
>>
>>
>
>
>
> --
> adam
>
> >
>

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