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B.8.0.2 qminor
Procedure from library qmatrix.lib (see qmatrix_lib).
- Usage:
- qminor(I,J,nr); where
I is the ordered list of the rows to consider in the minor,
J is the ordered list of the columns to consider in the minor and
nr is the order of the quantum matrix algebra you are working with (quant(nr)).
- Return:
- poly, the quantum minor.
- Note:
- I and J must have the same number of elements.
Example:
| LIB "qmatrix.lib";
def r=quant(3); setring r;
intvec u=1,2;
intvec v=2,3;
intvec w=1,2,3;
qminor(w,w,3);
==> y(1)*y(5)*y(9)+(-q)*y(1)*y(6)*y(8)+(-q)*y(2)*y(4)*y(9)+(q^2)*y(2)*y(6)*y(\
7)+(q^2)*y(3)*y(4)*y(8)+(-q^3)*y(3)*y(5)*y(7)
qminor(u,v,3);
==> y(2)*y(6)+(-q)*y(3)*y(5)
qminor(v,u,3);
==> y(4)*y(8)+(-q)*y(5)*y(7)
qminor(u,u,3);
==> y(1)*y(5)+(-q)*y(2)*y(4)
| quant
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