## 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
A recursive method for the construction of irreducible representations of the orthogonal group O(n)
β Scribed by Barnea, Nir
- Book ID
- 120537212
- Publisher
- American Institute of Physics
- Year
- 1999
- Tongue
- English
- Weight
- 498 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-2488
- DOI
- 10.1063/1.532703
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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
## Abstract A method for the construction of the essentially idempotent and Hermitian diagonal elements of the matric algebra of the permutation group __S__~__n__~ is proposed. For the irreducible representation [Ξ»] = [Ξ»~1~, Ξ»~2~] characterising a spin state __S__ of an __n__βelectron system, it is