Structure and representations of the symmetry group of the four-dimensional cube
- 1 June 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (6) , 944-953
- https://doi.org/10.1063/1.525461
Abstract
In this paper we give, explicitly, the description of the structure, the characters, and the complete system of irreducible representations of the hyperoctahedral group in four dimensions, which we call W4 (from the German ’’Würfel’’). In a second step, we do the same for the subgroup SW4, which is formed by all pure rotations contained in W4.Keywords
This publication has 10 references indexed in Scilit:
- The global symmetries of spin systems defined on abelian groups. IJournal of Mathematical Physics, 1981
- On the characters of the Weyl group of type CJournal of Algebra, 1975
- On the irreducible characters of the symmetric groupAdvances in Mathematics, 1975
- Irreducible Vector and Ray Representations of Some Cubic Crystal Point Groups in Four DimensionsJournal of Mathematical Physics, 1971
- Zur Darstellungstheorie Von KranzproduktenCanadian Journal of Mathematics, 1968
- Orthogonal Group Matrices of Hyperoctahedral GroupsNagoya Mathematical Journal, 1966
- Finite rotation groups and crystal classes in four dimensionsMathematical Proceedings of the Cambridge Philosophical Society, 1951
- A Geometrical Study of the Hyper-Octohedral GroupMathematical Proceedings of the Cambridge Philosophical Society, 1930
- On Quantitative Substitutional AnalysisProceedings of the London Mathematical Society, 1900
- Sur les substitutions orthogonales et les divisions régulières de l'espaceAnnales Scientifiques de lʼÉcole Normale Supérieure, 1889