Hi Simon,
On 2014-12-05, Simon King <simon.k...@uni-jena.de> wrote:
> On 2014-12-05, Dima Pasechnik <dimp...@gmail.com> wrote:
>> some pedestrian-level representation theory of associative algebras
>
> Do you mean stuff like representations of path algebras (which are
> highly non-commutative associative algebras)? Minimal projective
> resolutions of basic algebras? I'm currently working on that.

no, I meant finite-dimensional associative algebras, say defined
by matrix generators or structure constants. (I mostly care for char=0
case here).
E.g. Magma can compute their absolutely irreducibe representations, 
at least for certain fields like number fields.
>
>> support for sparse matrices over R and C is lacking in a big way
>> (and in general sparse matrices are very slow etc;)
>
> +1. Sparse matrices are quite important, among others for implementing
> Faugère algorithms to compute Gröbner bases.

I have a plan to enable sparse matrices for RDF and CDF via cvxopt,
which are quite good there. But that's only for these fields.

Dima

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