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D.13.3.22 evaluateProduct
Procedure from library gitfan.lib (see gitfan_lib).
- Usage:
- evaluateProduct(generatorsGperm,st); generatorsGperm: list, st: string
- Purpose:
- Evaluates a formal product of variables xi in st, where xi corresponds to the permutation generatorsGperm[i].
- Return:
- permutation
Example:
| | LIB "gitfan.lib";
ring R = 0,T(1..10),wp(1,1,1,1,1,1,1,1,1,1);
ideal J =
T(5)*T(10)-T(6)*T(9)+T(7)*T(8),
T(1)*T(9)-T(2)*T(7)+T(4)*T(5),
T(1)*T(8)-T(2)*T(6)+T(3)*T(5),
T(1)*T(10)-T(3)*T(7)+T(4)*T(6),
T(2)*T(10)-T(3)*T(9)+T(4)*T(8);
intmat Q[5][10] =
1, 1, 1, 1, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 1, 1, 1, 0, 0, 0,
0, 1, 1, 0, 0, 0, -1, 1, 0, 0,
0, 1, 0, 1, 0, -1, 0, 0, 1, 0,
0, 0, 1, 1, -1, 0, 0, 0, 0, 1;
list AF= afaces(J);
list OC = orbitCones(AF,Q);
list generatorsG = permutationFromIntvec(intvec( 1, 3, 2, 4, 6, 5, 7, 8, 10, 9 )),
permutationFromIntvec(intvec( 5, 7, 1, 6, 9, 2, 8, 4, 10, 3 ));
list Asigmagens = groupActionOnQImage(generatorsG,Q);
//list actionOnOrbitconeIndicesForGenerators = groupActionOnHashes(Asigmagens,OC);
string elementInTermsOfGenerators =
"(x2^-1*x1^-1)^3*x1^-1";
//evaluateProduct(actionOnOrbitconeIndicesForGenerators, elementInTermsOfGenerators);
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