Hi,

Thanks to an algebrist friend, I've realized that the computations
that I want to perform
are computations in the Weyl Algebra for which Macaulay2 has support

http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.4/share/doc/Macaulay2/Macaulay2Doc/html/___Weyl_spalgebras.html

Many thanks
Pablo

On Thu, Oct 20, 2011 at 6:02 PM, Pablo De Napoli <pden...@gmail.com> wrote:
> Hi,
>
> I need to perform computations with linear differential operators
> whose coefficients are polynomials
> in several variables (in Euclean space).
> Has Sage some support for this kind of computation?
>
> Could you suggest me some tool for doing that?
>
> For instance assume that you have two first order differentian operators
> (vector fields in the language of differential geometry) like
>
> X = x D_x - y D_y
>
> Y= x D_x - y D_z
>
> where D_x is the partial derivative with respect to x. I would like to
> compute XY
> [which is a second order operator], or things like the Lie bracket 
> [X,Y]=XY-YX)
> [which is a first order one]
>
> many thanks,
>
> Pablo De NĂ¡poli
>

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