GTTableToGroup

GTTableToGroup[group elements, multiplication table] gives a faithful representation of an arbitrary group from a list of group elements and a multiplication table, using permutation matrices.

Details and Options

  • GTTableToGroup changes the standard representation to "permutation matrices". (See GTWhichRepresentation)
  • The following options can be given:
  • GOElementRefresh Trueis an option to clear instaleld symmetry elements
    GOVerbose Trueis an option which controls the output of additional information.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.1

Examples

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Basic Examples  (2)

Klein's four group  (1)

The multiplication table of Klein's four group:

Generic symbols  (1)

The example is based on the group C4v.

Define an isomorphism to a set of symbols.

Install the group from the multiplication table using the new symbols.

Options  (2)

GOElementRefresh  (1)

GOVerbose  (1)

Tech Notes
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  • Installation of point groups