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7.7.19.0. WeylClosure
Procedure from library dmodloc.lib (see dmodloc_lib).

Usage:
WeylClosure(I); I an ideal

Assume:
The basering is the n-th Weyl algebra W over a field of characteristic 0 and for all 1<=i<=n the identity
var(i+n)*var(i)=var(i)*var(i+1)+1 holds, i.e. the sequence of variables is given by x(1),...,x(n),D(1),...,D(n), where D(i) is the differential operator belonging to x(i).
Moreover, assume that the holonomic rank of W/I is finite.

Return:
ideal, the Weyl closure of I

Remarks:
The Weyl closure of a left ideal I in the Weyl algebra W is defined to be the intersection of I regarded as left ideal in the rational Weyl algebra K(x(1..n))<D(1..n)> with the polynomial Weyl algebra W.
Reference: (Tsa), Algorithm 2.2.4

Note:
If printlevel=1, progress debug messages will be printed, if printlevel>=2, all the debug messages will be printed.

Example:
 
See also: WeylClosure1.


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