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7.5.12.0. facShift
Procedure from library ncfactor.lib (see ncfactor_lib).
- Usage:
- facShift(h); h a polynomial in the n'th shift algebra
- Return:
- list
- Purpose:
- compute all factorizations of a polynomial in the nth shift
algebra
- Theory:
- Currently, we do not have a specialized algorithm for the
shift algebra in this library that takes advantage of the graded
structure, hence this function is mapping to the general factorization
algorithm for G-Algebras
- Note:
- Every entry of the output list is a list with factors for one possible factorization.
Example:
| | LIB "ncfactor.lib";
ring R = 0,(x1,x2,s1,s2),dp;
matrix C[4][4] = 1,1,1,1,
1,1,1,1,
1,1,1,1,
1,1,1,1;
matrix D[4][4] = 0,0,s1,0,
0,0,0,s2,
-s1,0,0,0,
0,-s2,0,0;
def r = nc_algebra(C,D);
setring(r);
poly h = x1*(x1+1)*s1^2-2*x1*(x1+100)*s1+(x1+99)*(x1+100);
facShift(h);
==> [1]:
==> [1]:
==> 1
==> [2]:
==> x1*s1-x1+s1-100
==> [3]:
==> x1*s1-x1-s1-99
==> [2]:
==> [1]:
==> 1
==> [2]:
==> x1*s1-x1-100
==> [3]:
==> x1*s1-x1-99
==> [3]:
==> [1]:
==> 1
==> [2]:
==> x1*s1-x1-99
==> [3]:
==> x1*s1-x1-100
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See also:
facFirstWeyl;
facSubWeyl;
testNCfac.
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