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Rank-4 Coxeter Groups with Quaternions and 4D polytopes

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.

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Rank-4 Coxeter Groups with Quaternions and 4D polytopes

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  1. 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

  2. Outline Bangalore conference, 16-22 December, 2012

  3. 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

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  5. The Coxeter Dynkin diagram of A4 Bangalore conference, 16-22 December, 2012

  6. The F4 diagram with quaternionic reflection generators Bangalore conference, 16-22 December, 2012

  7. The F4 diagram with quaternionic reflection generators Bangalore conference, 16-22 December, 2012

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  10. 2.2. 4D polytopes with the W(A4) symmetry Bangalore conference, 16-22 December, 2012

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  13. Duals of the A4 polytopes Bangalore conference, 16-22 December, 2012

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  29. 2.5.4D polytopes with the H4 symmetry Bangalore conference, 16-22 December, 2012

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