QUATERNIONIC CONSTRUCTION OF THE W(F4) POLYTOPES WITH THEIR DUAL POLYTOPES AND BRANCHING UNDER THE SUBGROUPS W(B4) AND W(B3) x W(A1)

被引：4

作者：

Koca, Mehmet ^{[1
]}

Al-Ajmi, Mudhahir ^{[1
]}

Koca, Nazife Ozdes ^{[1
]}

机构：

[1] Sultan Qaboos Univ, Coll Sci, Dept Phys, Muscat 123, Oman

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 05期

关键词：

4D polytopes; dual polytopes; Coxeter groups; quaternions; W(F4); QUARK; E7;

D O I：

10.1142/S0219887813500102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Four-dimensional F-4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(F-4) where the group elements and the vertices of the polytopes are represented by quaternions. Branchings of an arbitrary W(F-4) orbit under the Coxeter groups W(B-4) and W(B-3) x W(A(1)) have been presented. The role of group theoretical technique and the use of quaternions have been emphasized.

引用

页数：24

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