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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