RepresentationTheorySG

Characters and matrices

GTSGCharacterTable — gives the character table of a space group.

GTSGGetIreps— gives the representation matrices and characters of the irreducible representations of a space group.

structure of space groups

GTSGLeftCosets — gives the left cosets a space group with respect to a subgroup.

GTSGRightCosets — gives the right cosets a space group with respect to a subgroup.

GTSGClasses — gives the classes of a space group

GTSGGetInvSubgroup — gives an invariant subgroup of a specified index.

GTSGCosetRepresentative — determines a coset representative for a left coset decomposition of the factor group G/T into a normal subgroup of index 2 or 3

symmetry elements

GTSGgmat — multiplies two space group elements

GTSGOrderOfElement — gives the order of a space group element