GROUP THEORY SYMBOL
GTSpinCharacters
GTSpinCharacters[classes]
gives the character of the spinor representation for each class.
DetailsDetails
- For each double group a representation using rotation matrices in spin space can be found. This representation is not faithful in general. For a rotation of an angle about the axis , the rotation matrices are given by . are the Pauli matrices and is the 2-dimensional identity matrix. For the representation of the inversion the Pauli-gauge is used, where the inversion is represented by .
- The following option can be given:
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GOFast GOFastValue Skips the input validation - See: S. L. Altmann, Rotations, Quaternions and Double Groups, Dover Publications, Inc., 2005
- W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 8.6.