This calculates the Quandle, Rack and Degenerate Homology groups of Racks and Biracks (as well as Quandles and Biquandles). In addition, a test is provided to ascertain if a given set with one or two given functions is indeed a biquandle or not.
|Author||Ansgar Wenzel [aut, cre]|
|Date of publication||2016-05-02 17:59:48|
|Maintainer||Ansgar Wenzel <firstname.lastname@example.org>|
|License||GPL (>= 3)|
all_combinations: Calculating all possible permutations
boundary_matrix: This function calculates a boundary matrix.
boundary_matrix_degenerate: Calculation of boundary matrix for degenerate Homology.
boundary_names: Calculation of boundary elements for quandle and rack...
boundary_names_degenerate: Calculation of degenerate boundary elements for boundary...
check_f: Check if the function is bijective
check_more_push: Helper function for Smith Normal Form calculation.
check_permutations: Check if Switch is bijective.
check_YB: Check Young Baxter Equation
degenerate_homology: Calculates the degenerate Homology for a rack/birack.
down_action: The down action for a birack or biquandle.
find_S_result: Calculate the Switch
findX: Calculate the left row action matrix to turn a matrix into...
GaussianElimination: Calculation of Gaussian Form of a matrix.
homology: Calculation of quandle and rack homology groups of a rack /...
matrix_rank: Calculates the rank of a matrix.
output_results: Function that prints the calculated homology group to the...
push_down: Helper Function for Smith Normal Form calculation.
quhomology-package: Calculation of Homology groups of a rack/birack
row_space: Row Space of a Matrix.
rref: Reduced Row Echelon Form of a matrix
smith: Smith Normal Form of a matrix.
S_test: Testing of possible quandle/biquandle actions
up_action: The up action for a birack or biquandle.