ApCoCoA-1:Weyl.WRGB

Weyl.WRGB

Reduced Groebner basis of an ideal I in Weyl algebra A_n.

Syntax

Weyl.WRGB(GB:LIST):LIST

Description

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

This function converts Groebner basis GB computed by ApCoCoAServer into the reduced Groebner Basis. If GB is not a Groebner basis then the output will not be the reduced Groebner basis. In fact, this function reduces a list GB of Weyl polynomals using Weyl.WNR into a new list L such that Ideal(L) = Ideal(GB).

This function is used inside the function Weyl.WGB to get a list of minimal Groebner basis elements for the ideal I.

• @param GB Groebner Basis of an ideal in the Weyl algebra.

• @result The reduced Groebner Basis of the given ideal.

Example

A1::=QQ[x,d];	--Define appropriate ring
Use A1;
L:=[x,d,1];
Weyl.WRGB(L);
[1]
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See also

Weyl.WNormalForm

Weyl.WGB

Introduction to Groebner Basis in CoCoA

Introduction to CoCoAServer