Published March 1, 2011 | Version v1
Journal article

4d-polytopes described by Coxeter diagrams and quaternions

Creators

  • 1. Sultan Qaboos University College of Science, Physics Department P.O Box 36, Al-Khoudh, 123 Muscat (Oman)

Description

4D-polytopes and their dual polytopes can be described as the orbits of the rank-4 Coxeter-Weyl groups. Their symmetries follow from the quaternionic descriptions of the rank-4 Coxeter-Dynkin diagrams. There exists a one to one correspondence between the finite subgroups of quaternions and the rank-4 Coxeter-Weyl groups.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/284/1/012040

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
284
Journal Issue
1
Journal Page Range
[9 p.]
ISSN
1742-6596

Conference

Title
28. international colloquium on group-theoretical methods in physics
Dates
26-30 Jul 2010
Place
Newcastle upon Tyne (United Kingdom)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43044536
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
DIAGRAMS; FOUR-DIMENSIONAL CALCULATIONS; MATHEMATICAL MODELS; ORBITS; SIMULATION; SYMMETRY
Descriptors DEC
INFORMATION