E.S.M. Hitzer, D. Ichikawa

**Representation of Crystallographic Subperiodic Groups
in Clifford's Geometric Algebra**

submitted to:
*Acta Crystallographica Section A: Foundations of Crystallography*,
(2009).

**Abstract:**
This paper explains how, following the representation of 3D crystallographic space
groups in Cliffordfs geometric algebra, it is further possible to similarly represent
the 162 so called subperiodic groups of crystallography in Cliffordfs 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 based on the representation of point groups in geometric algebra by
versors (Clifford monomials, Lipschitz elements).

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[Geometric Calculus Japan index]