Four-dimensional F4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(F4 ) where the group elements and the vertices of the polytopes are represented by quaternions. Branchings of an arbitrary W(F4 ) orbit under the Coxeter groups W(B4) and W(B3) × W(A1) have been presented. The role of group theoretical technique and the use of quaternions have been emphasized.
|Journal||International Journal of Geometric Methods in Modern Physics|
|Publication status||Published - May 2013|
- 4D polytopes
- Coxeter groups
- dual polytopes
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)