I need to do computations with matrices representing elements of the 
quotient ring A of a polynomial ring k[x1,...,xn] modulo a 0-dimensional 
ideal.
I don't seem to find such basic functionality as constructing these 
matrices implemented. 

It is of course easy, once you have a Groebner basis; from this you can 
find a basis of the regular representation of A as
"monomials under the staircase" (i.e. all the monomials occurring in the 
Groebner basis elements on the non-leading positions),
and compute matrices representing multiplication of variables x1,..., xn 
with these elements, my question is whether this is already
implemented in Sage.
 

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