Representation of Crystallographic Subperiodic Groups in Clifford’s Geometric Algebra

@article{Hitzer2013RepresentationOC,
  title={Representation of Crystallographic Subperiodic Groups in Clifford’s Geometric Algebra},
  author={E. Hitzer and Daisuke Ichikawa},
  journal={Advances in Applied Clifford Algebras},
  year={2013},
  volume={23},
  pages={887-906}
}
This paper explains how, following the representation of 3D crystallographic space groups in Clifford’s geometric algebra, it is further possible to similarly represent the 162 so called subperiodic groups of crystallography in Clifford’s geometric algebra. A new compact geometric algebra group representation symbol is constructed, which allows to read off the complete set of geometric algebra generators. For clarity moreover the chosen generators are stated explicitly. The group symbols are… Expand
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