List of leftCosetRepresentatives() Examples

Examples of leftCosetRepresentatives()

cc.redberry.core.groups.permutations.PermutationGroup.leftCosetRepresentatives()
Returns a set of left coset representatives of a given subgroup in this group (by definition, left coset of subgroup K have a form g*K); each representative is minimal in its coset under the ordering returned by {@code this.ordering()}. The number of these representatives is equals to {@code this.order().divide(subgroup.order())}. @param subgroup a subgroup of this group @return set of left coset representatives @see cc.redberry.core.groups.permutations.AlgorithmsBacktrack#leftCosetRepresentatives(java.util.List,java.util.List)

Examples of cc.redberry.core.groups.permutations.PermutationGroup.leftCosetRepresentatives()

        //for a simple tensors we can compute coset representatives directly:
        if (t instanceof SimpleTensor) {
            PermutationGroup t_group =
                    conjugatedSymmetriesOfSubIndices(((SimpleTensor) t).getIndices());
            PermutationGroup union = t_group.union(indicesGroup);
            Permutation[] reps = union.leftCosetRepresentatives(t_group);
            cosetRepresentatives = new ArrayIterator<>(reps);
            factor = BigInteger.valueOf(reps.length);
        } else {
            //in case of multitensor, we do not know its group of symmetries
            //if the resulting symmetries are small, then we'll just apply all of them

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Examples of cc.redberry.core.groups.permutations.PermutationGroup.leftCosetRepresentatives()

            } else {
                //otherwise we might will be more lucky if compute it group of symmetries and then compute coset reps.
                PermutationGroup t_group = PermutationGroup.createPermutationGroup(
                        TensorUtils.findIndicesSymmetries(indices, t));
                PermutationGroup union = t_group.union(indicesGroup);
                Permutation[] reps = union.leftCosetRepresentatives(t_group);
                cosetRepresentatives = new ArrayIterator<>(reps);
                factor = BigInteger.valueOf(reps.length);
            }
        }

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