The four-dimensional magnetic point and space groups

  title={The four-dimensional magnetic point and space groups},
  author={Bernd Souvignier},
  journal={Zeitschrift f{\"u}r Kristallographie - Crystalline Materials},
  pages={77 - 82}
  • B. Souvignier
  • Published 2006
  • Mathematics
  • Zeitschrift für Kristallographie - Crystalline Materials
Abstract This paper describes the classification of magnetic point and space groups which are also referred to as antisymmetry groups or black-and-white groups. These groups play an important role in the description of discrete point sets in which the points are not only characterized by their spatial coordinates but also by an additional property taking one of two possible values (e.g. spin up or down). Each operation of a magnetic group may or may not switch the value of this additional… 

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