Download
1 / 62
630 likes | 851 Views
Rank-4 Coxeter Groups with Quaternions and 4D polytopes. Mehmet Koca Department of Physics College of Science Sultan Qaboos University Muscat-OMAN kocam@squ.edu.om. Outline. 2.1. Representations of the group elements of rank-4 Coxeter groups with quaternions.
E N D
Rank-4 Coxeter Groups with Quaternions and 4D polytopes Mehmet Koca Department of Physics College of Science Sultan Qaboos University Muscat-OMAN kocam@squ.edu.om Bangalore conference, 16-22 December, 2012
Outline Bangalore conference, 16-22 December, 2012
2.1. Representations of the group elements of rank-4 Coxeter groups with quaternions Correspondence between the rank-4 Coxeter-Weyl groups and the finite subgroups of quaternions Five rank-4 Coxeter groups are described with the quaternionic roots and the quaternionic group elements Bangalore conference, 16-22 December, 2012
The Coxeter Dynkin diagram of A4 Bangalore conference, 16-22 December, 2012
The F4 diagram with quaternionic reflection generators Bangalore conference, 16-22 December, 2012
The F4 diagram with quaternionic reflection generators Bangalore conference, 16-22 December, 2012
2.2. 4D polytopes with the W(A4) symmetry Bangalore conference, 16-22 December, 2012
Duals of the A4 polytopes Bangalore conference, 16-22 December, 2012
2.5.4D polytopes with the H4 symmetry Bangalore conference, 16-22 December, 2012
