## Abstract It is shown how the irreducible representations of a finite group can be calculated from the irreducible characters (the latter can be calculated exactly by using Dixon's method). All elements of the matrix, representing a group element, lie in the rational field of polynomials of ΞΎ = e
The irreducible representations of the two-dimensional space groups of crystal surfaces. Theory and applications
β Scribed by T. Terzibaschian; B. Enderlein
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 706 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0370-1972
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π SIMILAR VOLUMES
## Abstract The restriction on a method for computing irreducible representations of finite groups, requiring that in the irreducible representation to be constructed, at least one group element has at least one nondegenerate eigenvalue, is removed. The method is thus shown to be applicable to an a
An equivalent basis of icosahedral molecules is introduced in which the basis functions can be transformed under the operations in the icosahedral group (I h ). In this equivalent basis, the irreducible representation basis (IRB) of I h , including the double-valued IRB of I \* h , is deduced analyt