view article
Figure 3
Sixteen orbits of the antisymmetry group G = [\{ 1, {\overline 1}, {1^\prime}, {1^\dagger}, {\overline 1}^\prime , {\overline 1}^\dagger , {1^\prime}^\dagger , {\overline 1}{^\prime}^\dagger \}], representing the action of the elements of the group (each represented by its own color) on a multivector x. The orbits are labeled by the generating elements of their stabilizer subgroups (SS). For example, orbit 5) [{\overline 1}{1^\dagger}] is identified uniquely by its stabilizer subgroup S = [\{1, {\overline 1}, {1^\dagger}, {\overline 1}^\dagger \}], generated by the generating elements [{\overline 1}] and [{1^\dagger}]. The squares and rectangles with a red outline represent the actions of the stabilizer subgroups on x. The quantities in the squares adjoining any equals sign, ` = ', are equal to each other.

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733
Volume 76| Part 3| May 2020| Pages 318-327
https://doi.org/10.1107/S205327332000217X
Follow Acta Cryst. A
Sign up for e-alerts
E-alerts
Follow Acta Cryst. on Twitter
Twitter
Follow us on facebook
Facebook
Sign up for RSS feeds
RSS