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7.5.3.0. PBW_maxDeg
Procedure from librarycentral.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!
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 |