R4 point groups
Abstract
The first section of the paper contains a description of 118 isomorphism classes of R4 point groups; the chosen presentations are related to certain structures of the groups such as direct sums and splitting extensions by cyclic groups. The second section gives a modification of the construction connecting 3- and 4-dimensional rotations and quaternions. Matrix generators of all 227 geometric classes of R4 point groups are obtained by this method. This approach is equivalent to the one which Hurley used in his paper of 1951. However, it reduces calculations and brings richer geometric intuitions.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- June 1975
- DOI:
- 10.1016/0034-4877(75)90040-3
- Bibcode:
- 1975RpMP....7..363M