E.S.M. Hitzer, D. Ichikawa

**Representation of crystallographic subperiodic groups by geometric algebra**

Electronic (USB flash memory for participants) Proceedings of
*AGACSE 3*,
Leipzig, Germany, 17-19 Aug. 2008, 11 pages (2008).

**Abstract:**
AbstractWe explain how following the representation of 3D crystallographic space
groups in geometric algebra it is further possible to similarly represent the 162 socalled
subperiodic groups of crystallography in geometric algebra. We construct a
new compact geometric algebra group representation symbol, which allows to read
off the complete set of geometric algebra generators. For clarity we moreover state
explicitly what generators are chosen. The group symbols are based on the representation
of point groups in geometric algebra by versors (Clifford group, Lipschitz
elements).

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[Geometric Calculus Japan index]