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7.10.2.1 operatorAlgebra

Procedure from library fpalgebras.lib (see fpalgebras_lib).

Usage:
operatorAlgebra(a,d); a a string, d an integer

Return:
ring

Note:
- the ring contains the ideal I, which contains the required relations - a gives the name of the algebra
- d gives the degreebound for the Letterplace ring

a must be one of the following:
integrodiff3
toeplitz
weyl1
usl2
usl2h
shift1inverse
exterior2
quadrowmm
shift1
weyl1inverse

This is a collection of common algebras.

Example:
 
LIB "fpalgebras.lib";
def R = operatorAlgebra("integrodiff3",5); setring R;
I; //relations of the algebra
==> I[1]=-x*D+D*x-1
==> I[2]=II*II-x*II+II*x
==> I[3]=D*II-1