Singular Manual: PBW_maxDeg

| ##### 7.5.3.0. PBW_maxDeg Procedure from library `central.lib` (see central_lib). Usage: PBW_maxDeg(MaxDeg); MaxDeg int Purpose: Compute PBW elements up to a given maximal degree. Return: ideal consisting of found elements. Note: unit is omitted. Weights are ignored! Example:
    LIB "central.lib";
    ring AA = 0,(e,f,h),dp;
    matrix D[3][3]=0;
    D[1,2]=-h;  D[1,3]=2*e;  D[2,3]=-2*f;
    def A = nc_algebra(1,D); // this algebra is U(sl_2)
    setring A;
    // PBW Basis of A_2 - monomials of degree <= 2, without unit:
    PBW_maxDeg( 2 );
    ==> _[1]=e
    ==> _[2]=f
    ==> _[3]=h
    ==> _[4]=h2
    ==> _[5]=fh
    ==> _[6]=f2
    ==> _[7]=eh
    ==> _[8]=ef
    ==> _[9]=e2

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