Dear Andrew,

On Mon, Nov 03, 2014 at 07:23:32PM -0800, Andrew wrote:
>    Sorry, this is a longish post...

Just a short answer for now: it's been in the TODO list for a while to
have representation matrices for the Hecke algebra (there might be a
ticket about this, and almost certainly a note in the road map). So
progress in this direction is surely welcome, especially if this can
be done uniformly for symmetric groups versus hecke algebras and type
A versus generic type.

By the way, this could be an occasion to make those methods of the
symmetric group / hecke algebra. Something like:

        sage: SymmetricGroup(5).representation([3,2], "seminormal")

As for speed: do you think the limitation comes from the cost of the
arithmetic in the base field, or from the linear algebra?

Cheers,
                                Nicolas
--
Nicolas M. ThiƩry "Isil" <nthi...@users.sf.net>
http://Nicolas.Thiery.name/

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